Nonlinear Symmetries And Nonlinear Equations

DOWNLOAD

Download Nonlinear Symmetries And Nonlinear Equations PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Nonlinear Symmetries And Nonlinear Equations book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page

Nonlinear Symmetries And Nonlinear Equations

DOWNLOAD
Author : G Gaeta
language : en
Publisher:
Release Date : 1994-09-30

Nonlinear Symmetries And Nonlinear Equations written by G Gaeta and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-09-30 with categories.

Nonlinear Symmetries And Nonlinear Equations

DOWNLOAD
Author : G. Gaeta
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Nonlinear Symmetries And Nonlinear Equations written by G. Gaeta and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.

The study of (nonlinear) dift"erential equations was S. Lie's motivation when he created what is now known as Lie groups and Lie algebras; nevertheless, although Lie group and algebra theory flourished and was applied to a number of dift"erent physical situations -up to the point that a lot, if not most, of current fun damental elementary particles physics is actually (physical interpretation of) group theory -the application of symmetry methods to dift"erential equations remained a sleeping beauty for many, many years. The main reason for this lies probably in a fact that is quite clear to any beginner in the field. Namely, the formidable comple:rity ofthe (algebraic, not numerical!) computations involved in Lie method. I think this does not account completely for this oblivion: in other fields of Physics very hard analytical computations have been worked through; anyway, one easily understands that systems of dOlens of coupled PDEs do not seem very attractive, nor a very practical computational tool.

Nonlinear Symmetries And Nonlinear Equations

DOWNLOAD
Author : Giuseppe Gaeta
language : en
Publisher: Springer Science & Business Media
Release Date : 1994

Nonlinear Symmetries And Nonlinear Equations written by Giuseppe Gaeta and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Mathematics categories.

This text serves as an introduction to the use of nonlinear symmetries in studying, simplifying and solving nonlinear equations. Part One provides a self-contained introduction to the theory. This emphasizes an intuitive understanding of jet spaces and the geometry of differential equations, and a special treatment of evolution problems and dynamical systems, including original results. In Part Two the theory is applied to equivariant dynamics, to bifurcation theory and to gauge symmetries, reporting recent results by the author. In particular, the fundamental results of equivariant bifurcation theory are extended to the case of nonlinear symmetries. The final part of the book gives an overview of new developments, including a number of applications, mainly in the physical sciences. A list of references dealing with nonlinear symmetries completes the volume.

Symmetry And Exact Solutions Of Nonlinear Mathematical Physics Equations

DOWNLOAD
Author : Gangwei Wang
language : en
Publisher: Frontiers Media SA
Release Date : 2024-08-13

Symmetry And Exact Solutions Of Nonlinear Mathematical Physics Equations written by Gangwei Wang and has been published by Frontiers Media SA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-08-13 with Science categories.

Nonlinear problems, originating from applied science that is closely related to practices, contain rich and extensive content. It makes the corresponding nonlinear models also complex and diverse. Due to the intricacy and contingency of nonlinear problems, unified mathematical methods still remain far and few between. In this regard, the comprehensive use of symmetric methods, along with other mathematical methods, becomes an effective option to solve nonlinear problems.

Lie And Non Lie Symmetries Theory And Applications For Solving Nonlinear Models

DOWNLOAD
Author : Roman M. Cherniha
language : en
Publisher: MDPI
Release Date : 2018-07-06

Lie And Non Lie Symmetries Theory And Applications For Solving Nonlinear Models written by Roman M. Cherniha and has been published by MDPI this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-07-06 with Mathematics categories.

This book is a printed edition of the Special Issue "Lie Theory and Its Applications" that was published in Symmetry

Symmetry And Perturbation Theory In Nonlinear Dynamics

DOWNLOAD
Author : Giampaolo Cicogna
language : en
Publisher: Springer Science & Business Media
Release Date : 1999-10-19

Symmetry And Perturbation Theory In Nonlinear Dynamics written by Giampaolo Cicogna and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-10-19 with Language Arts & Disciplines categories.

This book deals with the theory of Poincaré--Birkhoff normal forms, studying symmetric systems in particular. Attention is focused on general Lie point symmetries, and not just on symmetries acting linearly. Some results on the simultaneous normalization of a vector field describing a dynamical system and vector fields describing its symmetry are presented and a perturbative approach is also used. Attention is given to the problem of convergence of the normalizing transformation in the presence of symmetry, with some other extensions of the theory. The results are discussed for the general case of dynamical systems and also for the specific Hamiltonian setting.

Symmetries Of Nonlinear Pdes On Metric Graphs And Branched Networks

DOWNLOAD
Author : Dmitry Pelinovsky
language : en
Publisher: MDPI
Release Date : 2019-10-30

Symmetries Of Nonlinear Pdes On Metric Graphs And Branched Networks written by Dmitry Pelinovsky and has been published by MDPI this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-10-30 with Mathematics categories.

This Special Issue focuses on recent progress in a new area of mathematical physics and applied analysis, namely, on nonlinear partial differential equations on metric graphs and branched networks. Graphs represent a system of edges connected at one or more branching points (vertices). The connection rule determines the graph topology. When the edges can be assigned a length and the wave functions on the edges are defined in metric spaces, the graph is called a metric graph. Evolution equations on metric graphs have attracted much attention as effective tools for the modeling of particle and wave dynamics in branched structures and networks. Since branched structures and networks appear in different areas of contemporary physics with many applications in electronics, biology, material science, and nanotechnology, the development of effective modeling tools is important for the many practical problems arising in these areas. The list of important problems includes searches for standing waves, exploring of their properties (e.g., stability and asymptotic behavior), and scattering dynamics. This Special Issue is a representative sample of the works devoted to the solutions of these and other problems.

Symmetry Analysis And Exact Solutions Of Equations Of Nonlinear Mathematical Physics

DOWNLOAD
Author : W.I. Fushchich
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-14

Symmetry Analysis And Exact Solutions Of Equations Of Nonlinear Mathematical Physics written by W.I. Fushchich and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-14 with Science categories.

by spin or (spin s = 1/2) field equations is emphasized because their solutions can be used for constructing solutions of other field equations insofar as fields with any spin may be constructed from spin s = 1/2 fields. A brief account of the main ideas of the book is presented in the Introduction. The book is largely based on the authors' works [55-109, 176-189, 13-16, 7*-14*,23*, 24*] carried out in the Institute of Mathematics, Academy of Sciences of the Ukraine. References to other sources is not intended to imply completeness. As a rule, only those works used directly are cited. The authors wish to express their gratitude to Academician Yu.A. Mitropoi sky, and to Academician of Academy of Sciences of the Ukraine O.S. Parasyuk, for basic support and stimulation over the course of many years; to our cowork ers in the Department of Applied Studies, LA. Egorchenko, R.Z. Zhdanov, A.G. Nikitin, LV. Revenko, V.L Lagno, and I.M. Tsifra for assistance with the manuscript.

Nonlinear Reaction Diffusion Convection Equations

DOWNLOAD
Author : Roman Cherniha
language : en
Publisher: CRC Press
Release Date : 2017-11-02

Nonlinear Reaction Diffusion Convection Equations written by Roman Cherniha and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-11-02 with Mathematics categories.

It is well known that symmetry-based methods are very powerful tools for investigating nonlinear partial differential equations (PDEs), notably for their reduction to those of lower dimensionality (e.g. to ODEs) and constructing exact solutions. This book is devoted to (1) search Lie and conditional (non-classical) symmetries of nonlinear RDC equations, (2) constructing exact solutions using the symmetries obtained, and (3) their applications for solving some biologically and physically motivated problems. The book summarises the results derived by the authors during the last 10 years and those obtained by some other authors.

Applications Of Symmetry Methods To Partial Differential Equations

DOWNLOAD
Author : George W. Bluman
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-10-30

Applications Of Symmetry Methods To Partial Differential Equations written by George W. Bluman and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-10-30 with Mathematics categories.

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.