Translations of Mathematical Monographs
| Author | : |
| Publisher | : |
| Total Pages | : 333 |
| Release | : 1962 |
| Genre | : Conservation laws (Mathematics) |
| ISBN | : 9780821809587 |
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Symmetries And Conservation Laws For Differential Equations Of Mathematical Physics PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Symmetries And Conservation Laws For Differential Equations Of Mathematical Physics PDF full book. Access full book title Symmetries And Conservation Laws For Differential Equations Of Mathematical Physics.
Symmetries of Partial Differential Equations
| Author | : A.M. Vinogradov |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 454 |
| Release | : 2012-12-06 |
| Genre | : Mathematics |
| ISBN | : 9400919484 |
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2 The authors of these issues involve not only mathematicians, but also speci alists in (mathematical) physics and computer sciences. So here the reader will find different points of view and approaches to the considered field. A. M. VINOGRADOV 3 Acta Applicandae Mathematicae 15: 3-21, 1989. © 1989 Kluwer Academic Publishers. Symmetries and Conservation Laws of Partial Differential Equations: Basic Notions and Results A. M. VINOORADOV Department of Mathematics, Moscow State University, 117234, Moscow, U. S. S. R. (Received: 22 August 1988) Abstract. The main notions and results which are necessary for finding higher symmetries and conservation laws for general systems of partial differential equations are given. These constitute the starting point for the subsequent papers of this volume. Some problems are also discussed. AMS subject classifications (1980). 35A30, 58005, 58035, 58H05. Key words. Higher symmetries, conservation laws, partial differential equations, infinitely prolonged equations, generating functions. o. Introduction In this paper we present the basic notions and results from the general theory of local symmetries and conservation laws of partial differential equations. More exactly, we will focus our attention on the main conceptual points as well as on the problem of how to find all higher symmetries and conservation laws for a given system of partial differential equations. Also, some general views and perspectives will be discussed.
Symmetries and Conservation Laws for Differential Equations of Mathematical Physics
| Author | : |
| Publisher | : |
| Total Pages | : |
| Release | : 1999 |
| Genre | : Conservation laws (Mathematics) |
| ISBN | : 9781470445966 |
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This book presents developments in the geometric approach to nonlinear partial differential equations (PDEs). The expositions discuss the main features of the approach, and the theory of symmetries and the conservation laws based on it. The book combines rigorous mathematics with concrete examples. Nontraditional topics, such as the theory of nonlocal symmetries and cohomological theory of conservation laws, are also included. The volume is largely self-contained and includes detailed motivations, extensive examples and exercises, and careful proofs of all results. Readers interested in learni.
Symmetries and Conservation Laws for Differential Equations of Mathematical Physics
| Author | : A. V. Bocharov Aleksandr Mikhaĭlovich Vinogradov |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 434 |
| Release | : |
| Genre | : Mathematics |
| ISBN | : 9780821897898 |
Download Symmetries and Conservation Laws for Differential Equations of Mathematical Physics Book in PDF, ePub and Kindle
This book presents developments in the geometric approach to nonlinear partial differential equations (PDEs). The expositions discuss the main features of the approach, and the theory of symmetries and the conservation laws based on it. The book combines rigorous mathematics with concrete examples. Nontraditional topics, such as the theory of nonlocal symmetries and cohomological theory of conservation laws, are also included. The volume is largely self-contained and includes detailed motivations, extensive examples and exercises, and careful proofs of all results. Readers interested in learning the basics of applications of symmetry methods to differential equations of mathematical physics will find the text useful. Experts will also find it useful as it gathers many results previously only available in journals.
Symmetries and Conservation Laws for Differential Equations of Mathematical Physics
| Author | : I. S. Krasil'Shchik |
| Publisher | : |
| Total Pages | : 333 |
| Release | : 1999 |
| Genre | : |
| ISBN | : |
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Symmetries, Differential Equations and Applications
| Author | : Victor G. Kac |
| Publisher | : Springer |
| Total Pages | : 199 |
| Release | : 2018-11-04 |
| Genre | : Mathematics |
| ISBN | : 3030013766 |
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Based on the third International Conference on Symmetries, Differential Equations and Applications (SDEA-III), this proceedings volume highlights recent important advances and trends in the applications of Lie groups, including a broad area of topics in interdisciplinary studies, ranging from mathematical physics to financial mathematics. The selected and peer-reviewed contributions gathered here cover Lie theory and symmetry methods in differential equations, Lie algebras and Lie pseudogroups, super-symmetry and super-integrability, representation theory of Lie algebras, classification problems, conservation laws, and geometrical methods. The SDEA III, held in honour of the Centenary of Noether’s Theorem, proven by the prominent German mathematician Emmy Noether, at Istanbul Technical University in August 2017 provided a productive forum for academic researchers, both junior and senior, and students to discuss and share the latest developments in the theory and applications of Lie symmetry groups. This work has an interdisciplinary appeal and will be a valuable read for researchers in mathematics, mechanics, physics, engineering, medicine and finance.
Applications of Symmetry Methods to Partial Differential Equations
| Author | : George W. Bluman |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 415 |
| Release | : 2009-10-30 |
| Genre | : Mathematics |
| ISBN | : 0387680284 |
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This is an acessible book on the advanced symmetry methods for differential equations, including such subjects as conservation laws, Lie-Bäcklund symmetries, contact transformations, adjoint symmetries, Nöther's Theorem, mappings with some modification, potential symmetries, nonlocal symmetries, nonlocal mappings, and non-classical method. Of use to graduate students and researchers in mathematics and physics.
Similarity and Symmetry Methods
| Author | : Jean-François Ganghoffer |
| Publisher | : Springer |
| Total Pages | : 380 |
| Release | : 2014-07-19 |
| Genre | : Science |
| ISBN | : 3319082965 |
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The principle aim of the book is to present a self-contained, modern account of similarity and symmetry methods, which are important mathematical tools for both physicists, engineers and applied mathematicians. The idea is to provide a balanced presentation of the mathematical techniques and applications of symmetry methods in mathematics, physics and engineering. That is why it includes recent developments and many examples in finding systematically conservation laws, local and nonlocal symmetries for ordinary and partial differential equations. The role of continuous symmetries in classical and quantum field theories is exposed at a technical level accessible even for non specialists. The importance of symmetries in continuum mechanics and mechanics of materials is highlighted through recent developments, such as the construction of constitutive models for various materials combining Lie symmetries with experimental data. As a whole this book is a unique collection of contributions from experts in the field, including specialists in the mathematical treatment of symmetries, researchers using symmetries from a fundamental, applied or numerical viewpoint. The book is a fascinating overview of symmetry methods aimed for graduate students in physics, mathematics and engineering, as well as researchers either willing to enter in the field or to capture recent developments and applications of symmetry methods in different scientific fields.
CRC Handbook of Lie Group Analysis of Differential Equations
| Author | : Nail H. Ibragimov |
| Publisher | : CRC Press |
| Total Pages | : 570 |
| Release | : 1994-11-28 |
| Genre | : Mathematics |
| ISBN | : 9780849328640 |
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Volume 2 offers a unique blend of classical results of Sophus Lie with new, modern developments and numerous applications which span a period of more than 100 years. As a result, this reference is up to date, with the latest information on the group theoretic methods used frequently in mathematical physics and engineering. Volume 2 is divided into three parts. Part A focuses on relevant definitions, main algorithms, group classification schemes for partial differential equations, and multifaceted possibilities offered by Lie group theoretic philosophy. Part B contains the group analysis of a variety of mathematical models for diverse natural phenomena. It tabulates symmetry groups and solutions for linear equations of mathematical physics, classical field theory, viscous and non-Newtonian fluids, boundary layer problems, Earth sciences, elasticity, plasticity, plasma theory (Vlasov-Maxwell equations), and nonlinear optics and acoustics. Part C offers an English translation of Sophus Lie's fundamental paper on the group classification and invariant solutions of linear second-order equations with two independent variables. This will serve as a concise, practical guide to the group analysis of partial differential equations.
Symmetry Analysis of Differential Equations with Mathematica®
| Author | : Gerd Baumann |
| Publisher | : Springer |
| Total Pages | : 521 |
| Release | : 2014-01-20 |
| Genre | : Mathematics |
| ISBN | : 9781461274186 |
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The first book to explicitly use Mathematica so as to allow researchers and students to more easily compute and solve almost any kind of differential equation using Lie's theory. Previously time-consuming and cumbersome calculations are now much more easily and quickly performed using the Mathematica computer algebra software. The material in this book, and on the accompanying CD-ROM, will be of interest to a broad group of scientists, mathematicians and engineers involved in dealing with symmetry analysis of differential equations. Each section of the book starts with a theoretical discussion of the material, then shows the application in connection with Mathematica. The cross-platform CD-ROM contains Mathematica (version 3.0) notebooks which allow users to directly interact with the code presented within the book. In addition, the author's proprietary "MathLie" software is included, so users can readily learn to use this powerful tool in regard to performing algebraic computations.
