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Author : Joseph S. Krasilscik
Publisher :
ISBN 13 : 9780008840013
Total Pages : 0 pages
Book Rating : 4.8/5 (4 download)
Download or read book Geometry of Jet Spaces and Nonlinear Partial Differential Equations written by Joseph S. Krasilscik and published by . This book was released on 1986 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Iosif Semenovich Krasilʹshchik
Publisher : Routledge
ISBN 13 :
Total Pages : 472 pages
Book Rating : 4.3/5 (91 download)
Download or read book Geometry of Jet Spaces and Nonlinear Partial Differential Equations written by Iosif Semenovich Krasilʹshchik and published by Routledge. This book was released on 1986 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Agostino Prastaro
Publisher : World Scientific
ISBN 13 : 9789810214074
Total Pages : 482 pages
Book Rating : 4.2/5 (14 download)
Download or read book Geometry in Partial Differential Equations written by Agostino Prastaro and published by World Scientific. This book was released on 1994 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book emphasizes the interdisciplinary interaction in problems involving geometry and partial differential equations. It provides an attempt to follow certain threads that interconnect various approaches in the geometric applications and influence of partial differential equations. A few such approaches include: Morse-Palais-Smale theory in global variational calculus, general methods to obtain conservation laws for PDEs, structural investigation for the understanding of the meaning of quantum geometry in PDEs, extensions to super PDEs (formulated in the category of supermanifolds) of the geometrical methods just introduced for PDEs and the harmonic theory which proved to be very important especially after the appearance of the Atiyah-Singer index theorem, which provides a link between geometry and topology.
Author : Valentin Lychagin
Publisher : MDPI
ISBN 13 : 303651046X
Total Pages : 204 pages
Book Rating : 4.0/5 (365 download)
Download or read book Geometric Analysis of Nonlinear Partial Differential Equations written by Valentin Lychagin and published by MDPI. This book was released on 2021-09-03 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains a collection of twelve papers that reflect the state of the art of nonlinear differential equations in modern geometrical theory. It comprises miscellaneous topics of the local and nonlocal geometry of differential equations and the applications of the corresponding methods in hydrodynamics, symplectic geometry, optimal investment theory, etc. The contents will be useful for all the readers whose professional interests are related to nonlinear PDEs and differential geometry, both in theoretical and applied aspects.
Author : P.H. Kersten
Publisher : Springer Science & Business Media
ISBN 13 : 9400901798
Total Pages : 346 pages
Book Rating : 4.4/5 (9 download)
Download or read book Geometric and Algebraic Structures in Differential Equations written by P.H. Kersten and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: The geometrical theory of nonlinear differential equations originates from classical works by S. Lie and A. Bäcklund. It obtained a new impulse in the sixties when the complete integrability of the Korteweg-de Vries equation was found and it became clear that some basic and quite general geometrical and algebraic structures govern this property of integrability. Nowadays the geometrical and algebraic approach to partial differential equations constitutes a special branch of modern mathematics. In 1993, a workshop on algebra and geometry of differential equations took place at the University of Twente (The Netherlands), where the state-of-the-art of the main problems was fixed. This book contains a collection of invited lectures presented at this workshop. The material presented is of interest to those who work in pure and applied mathematics and especially in mathematical physics.
Author : I. S. Krasil′shchik
Publisher : American Mathematical Society
ISBN 13 : 1470471477
Total Pages : 250 pages
Book Rating : 4.4/5 (74 download)
Download or read book The Diverse World of PDEs written by I. S. Krasil′shchik and published by American Mathematical Society. This book was released on 2023-08-21 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the Alexandre Vinogradov Memorial Conference on Diffieties, Cohomological Physics, and Other Animals, held from December 13–17, 2021, at the Independent University of Moscow and Moscow State University, Moscow, Russia. The papers are devoted to various interrelations of nonlinear PDEs with geometry and integrable systems. The topics discussed are: gravitational and electromagnetic fields in General Relativity, nonlocal geometry of PDEs, Legendre foliated cocycles on contact manifolds, presymplectic gauge PDEs and Lagrangian BV formalism, jet geometry and high-order phase transitions, bi-Hamiltonian structures of KdV type, bundles of Weyl structures, Lax representations via twisted extensions of Lie algebras, energy functionals and normal forms of knots, and differential invariants of inviscid flows. The companion volume (Contemporary Mathematics, Volume 789) is devoted to Algebraic and Cohomological Aspects of PDEs.
Author : Valentin Vasilʹevich Lychagin
Publisher :
ISBN 13 : 9781470433789
Total Pages : pages
Book Rating : 4.4/5 (337 download)
Download or read book The Interplay Between Differential Geometry and Differential Equations written by Valentin Vasilʹevich Lychagin and published by . This book was released on 1995 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: This work applies symplectic methods and discusses quantization problems to emphasize the advantage of an algebraic geometry approach to nonlinear differential equations. One common feature in most of the presentations in this book is the systematic use of the geometry of jet spaces.
Author : Joshua Allensworth Leslie
Publisher : American Mathematical Soc.
ISBN 13 : 0821829645
Total Pages : 226 pages
Book Rating : 4.8/5 (218 download)
Download or read book The Geometrical Study of Differential Equations written by Joshua Allensworth Leslie and published by American Mathematical Soc.. This book was released on 2001 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains papers based on some of the talks given at the NSF-CBMS conference on ``The Geometrical Study of Differential Equations'' held at Howard University (Washington, DC). The collected papers present important recent developments in this area, including the treatment of nontransversal group actions in the theory of group invariant solutions of PDEs, a method for obtaining discrete symmetries of differential equations, the establishment of a group-invariant version of the variational complex based on a general moving frame construction, the introduction of a new variational complex for the calculus of difference equations and an original structural investigation of Lie-Backlund transformations. The book opens with a modern and illuminating overview of Lie's line-sphere correspondence and concludes with several interesting open problems arising from symmetry analysis of PDEs. It offers a rich source of inspiration for new or established researchers in the field. This book can serve nicely as a companion volume to a forthcoming book written by the principle speaker at the conference, Professor Niky Kamran, to be published in the AMS series, CBMS Regional Conference Series in Mathematics.
Author : Ljudmila A Bordag
Publisher : World Scientific Publishing Company
ISBN 13 : 9814667269
Total Pages : 341 pages
Book Rating : 4.8/5 (146 download)
Download or read book Geometrical Properties Of Differential Equations: Applications Of The Lie Group Analysis In Financial Mathematics written by Ljudmila A Bordag and published by World Scientific Publishing Company. This book was released on 2015-05-27 with total page 341 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook is a short comprehensive and intuitive introduction to Lie group analysis of ordinary and partial differential equations. This practical-oriented material contains a large number of examples and problems accompanied by detailed solutions and figures. In comparison with the known beginner guides to Lie group analysis, the book is oriented toward students who are interested in financial mathematics, mathematical finance and economics.We provide the results of the Lie group analysis of actual models in Financial Mathematics using recent publications. These models are usually formulated as nonlinear partial differential equations and are rather difficult to make use of. With the help of Lie group analysis it is possible to describe some important properties of these models and to obtain interesting reductions in a clear and understandable algorithmic way.The book can serve as a short introduction for a further study of modern geometrical analysis applied to models in financial mathematics. It can also be used as textbook in a master's program, in an intensive compact course, or for self study.The textbook with a large number of examples will be useful not only for students who are interested in Financial Mathematics but also for people who are working in other areas of research that are not directly connected with Physics (for instance in such areas of Applied Mathematics like mathematical economy, bio systems, coding theory, etc.).
Author : Radosław A. Kycia
Publisher : Springer
ISBN 13 : 3030170314
Total Pages : 279 pages
Book Rating : 4.0/5 (31 download)
Download or read book Nonlinear PDEs, Their Geometry, and Applications written by Radosław A. Kycia and published by Springer. This book was released on 2019-05-18 with total page 279 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents lectures given at the Summer School Wisła 18: Nonlinear PDEs, Their Geometry, and Applications, which took place from August 20 - 30th, 2018 in Wisła, Poland, and was organized by the Baltic Institute of Mathematics. The lectures in the first part of this volume were delivered by experts in nonlinear differential equations and their applications to physics. Original research articles from members of the school comprise the second part of this volume. Much of the latter half of the volume complements the methods expounded in the first half by illustrating additional applications of geometric theory of differential equations. Various subjects are covered, providing readers a glimpse of current research. Other topics covered include thermodynamics, meteorology, and the Monge–Ampère equations. Researchers interested in the applications of nonlinear differential equations to physics will find this volume particularly useful. A knowledge of differential geometry is recommended for the first portion of the book, as well as a familiarity with basic concepts in physics.
Author : Andrei D. Polyanin
Publisher : CRC Press
ISBN 13 : 1135440816
Total Pages : 835 pages
Book Rating : 4.1/5 (354 download)
Download or read book Handbook of Nonlinear Partial Differential Equations written by Andrei D. Polyanin and published by CRC Press. This book was released on 2004-06-02 with total page 835 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Handbook of Nonlinear Partial Differential Equations is the latest in a series of acclaimed handbooks by these authors and presents exact solutions of more than 1600 nonlinear equations encountered in science and engineering--many more than any other book available. The equations include those of parabolic, hyperbolic, elliptic and other types, and the authors pay special attention to equations of general form that involve arbitrary functions. A supplement at the end of the book discusses the classical and new methods for constructing exact solutions to nonlinear equations. To accommodate different mathematical backgrounds, the authors avoid wherever possible the use of special terminology, outline some of the methods in a schematic, simplified manner, and arrange the equations in increasing order of complexity. Highlights of the Handbook:
Author : V V Zharinov
Publisher : World Scientific
ISBN 13 : 9814513997
Total Pages : 372 pages
Book Rating : 4.8/5 (145 download)
Download or read book Lecture Notes On Geometrical Aspects Of Partial Differential Equations written by V V Zharinov and published by World Scientific. This book was released on 1992-03-26 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on the properties of nonlinear systems of PDE with geometrical origin and the natural description in the language of infinite-dimensional differential geometry. The treatment is very informal and the theory is illustrated by various examples from mathematical physics. All necessary information about the infinite-dimensional geometry is given in the text.
Author :
Publisher :
ISBN 13 : 9780821810941
Total Pages : pages
Book Rating : 4.8/5 (19 download)
Download or read book American Mathematical Society Translations written by and published by . This book was released on 1955 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Semen Grigorʹevich Gindikin
Publisher : CRC Press
ISBN 13 : 9782881247538
Total Pages : 482 pages
Book Rating : 4.2/5 (475 download)
Download or read book Distributions and Convolution Equations written by Semen Grigorʹevich Gindikin and published by CRC Press. This book was released on 1992 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors apply the results of many years of their own original research to a systematic presentation of the theory of distributions in this monograph which can also be used as a (very expensive) textbook on the theory of distribution for graduate students. The first part is devoted to the Cauchy problem, while the second part deals with the Wiener-Hopf equation and related topics in the theory of boundary value problems for convolution equations. To make their work more accessible to readers new to this field, the authors restrict initial treatment of problems to the half-line and formulate only principal results, in their simplest form. Special results and possible generalizations are presented as problems and exercises. Annotation copyrighted by Book News, Inc., Portland, OR
Author : I.S. Krasil'shchik
Publisher : Springer Science & Business Media
ISBN 13 : 9401731969
Total Pages : 396 pages
Book Rating : 4.4/5 (17 download)
Download or read book Symmetries and Recursion Operators for Classical and Supersymmetric Differential Equations written by I.S. Krasil'shchik and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: To our wives, Masha and Marian Interest in the so-called completely integrable systems with infinite num ber of degrees of freedom was aroused immediately after publication of the famous series of papers by Gardner, Greene, Kruskal, Miura, and Zabusky [75, 77, 96, 18, 66, 19J (see also [76]) on striking properties of the Korteweg-de Vries (KdV) equation. It soon became clear that systems of such a kind possess a number of characteristic properties, such as infinite series of symmetries and/or conservation laws, inverse scattering problem formulation, L - A pair representation, existence of prolongation structures, etc. And though no satisfactory definition of complete integrability was yet invented, a need of testing a particular system for these properties appeared. Probably one of the most efficient tests of this kind was first proposed by Lenard [19]' who constructed a recursion operator for symmetries of the KdV equation. It was a strange operator, in a sense: being formally integro-differential, its action on the first classical symmetry (x-translation) was well-defined and produced the entire series of higher KdV equations; but applied to the scaling symmetry, it gave expressions containing terms of the type J u dx which had no adequate interpretation in the framework of the existing theories. It is not surprising that P. Olver wrote "The de duction of the form of the recursion operator (if it exists) requires a certain amount of inspired guesswork. . . " [80, p.
Author : A.J. Fossard
Publisher : Springer Science & Business Media
ISBN 13 : 146156395X
Total Pages : 294 pages
Book Rating : 4.4/5 (615 download)
Download or read book Nonlinear Systems written by A.J. Fossard and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear Systems is divided into three volumes. The first deals with modeling and estimation, the second with stability and stabilization and the third with control. This three-volume set provides the most comprehensive and detailed reference available on nonlinear systems. Written by a group of leading experts in the field, drawn from industry, government and academic institutions, it provides a solid theoretical basis on nonlinear control methods as well as practical examples and advice for engineers, teachers and researchers working with nonlinear systems. Each book focuses on the applicability of the concepts introduced and keeps the level of mathematics to a minimum. Simulations and industrial examples drawn from aerospace as well as mechanical, electrical and chemical engineering are given throughout.
Author : R. Conte
Publisher : Springer Science & Business Media
ISBN 13 : 9400905912
Total Pages : 609 pages
Book Rating : 4.4/5 (9 download)
Download or read book Partially Integrable Evolution Equations in Physics written by R. Conte and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 609 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the many physical phenomena ruled by partial differential equations, two extreme fields are currently overcrowded due to recent considerable developments: 1) the field of completely integrable equations, whose recent advances are the inverse spectral transform, the recursion operator, underlying Hamiltonian structures, Lax pairs, etc 2) the field of dynamical systems, often built as models of observed physical phenomena: turbulence, intermittency, Poincare sections, transition to chaos, etc. In between there is a very large region where systems are neither integrable nor nonintegrable, but partially integrable, and people working in the latter domain often know methods from either 1) or 2). Due to the growing interest in partially integrable systems, we decided to organize a meeting for physicists active or about to undertake research in this field, and we thought that an appropriate form would be a school. Indeed, some of the above mentioned methods are often adaptable outside their original domain and therefore worth to be taught in an interdisciplinary school. One of the main concerns was to keep a correct balance between physics and mathematics, and this is reflected in the list of courses.
