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

Lie And Non Lie Symmetries Theory And Applications For Solving Nonlinear Models Book in PDF, ePub and Kindle version is available to download in english. Read online anytime anywhere directly from your device. Click on the download button below to get a free pdf file of Lie And Non Lie Symmetries Theory And Applications For Solving Nonlinear Models book. This book definitely worth reading, it is an incredibly well-written.

Lie and non-Lie Symmetries: Theory and Applications for Solving Nonlinear Models

Author : Roman M. Cherniha
Publisher : MDPI
Page : 427 pages
File Size : 40,9 Mb
Release : 2018-07-06
Category : Electronic book
ISBN : 9783038425267

Get Book

Lie and non-Lie Symmetries: Theory and Applications for Solving Nonlinear Models by Roman M. Cherniha Pdf

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

Lie and Non-Lie Symmetries

Author : Anonim
Publisher : Unknown
Page : 128 pages
File Size : 53,5 Mb
Release : 2017
Category : Electronic book
ISBN : 3038425273

Get Book

Lie and Non-Lie Symmetries by Anonim Pdf

Annotation Since the end of the 19th century when the prominent Norwegian mathematician Sophus Lie created the theory of Lie algebras and Lie groups and developed the method of their applications for solving differential equations, his theory and method have continuously been the research focus of many well-known mathematicians and physicists. This book is devoted to recent development in Lie theory and its applications for solving physically and biologically motivated equations and models. The book contains the articles published in two Special Issue of the journal Symmetry, which are devoted to analysis and classification of Lie algebras, which are invariance algebras of real-word models; Lie and conditional symmetry classification problems of nonlinear PDEs; the application of symmetry-based methods for finding new exact solutions of nonlinear PDEs (especially reaction-diffusion equations) arising in applications; the application of the Lie method for solving nonlinear initial and boundary-value problems (especially those for modelling processes with diffusion, heat transfer, and chemotaxis).

Symmetry Analysis of Differential Equations with Mathematica®

Author : Gerd Baumann
Publisher : Springer Science & Business Media
Page : 532 pages
File Size : 45,9 Mb
Release : 2013-11-21
Category : Mathematics
ISBN : 9781461221104

Get Book

Symmetry Analysis of Differential Equations with Mathematica® by Gerd Baumann Pdf

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.

Separation of Variables and Exact Solutions to Nonlinear PDEs

Author : Andrei D. Polyanin,Alexei I. Zhurov
Publisher : CRC Press
Page : 401 pages
File Size : 42,8 Mb
Release : 2021-09-20
Category : Mathematics
ISBN : 9781000463637

Get Book

Separation of Variables and Exact Solutions to Nonlinear PDEs by Andrei D. Polyanin,Alexei I. Zhurov Pdf

Separation of Variables and Exact Solutions to Nonlinear PDEs is devoted to describing and applying methods of generalized and functional separation of variables used to find exact solutions of nonlinear partial differential equations (PDEs). It also presents the direct method of symmetry reductions and its more general version. In addition, the authors describe the differential constraint method, which generalizes many other exact methods. The presentation involves numerous examples of utilizing the methods to find exact solutions to specific nonlinear equations of mathematical physics. The equations of heat and mass transfer, wave theory, hydrodynamics, nonlinear optics, combustion theory, chemical technology, biology, and other disciplines are studied. Particular attention is paid to nonlinear equations of a reasonably general form that depend on one or several arbitrary functions. Such equations are the most difficult to analyze. Their exact solutions are of significant practical interest, as they are suitable to assess the accuracy of various approximate analytical and numerical methods. The book contains new material previously unpublished in monographs. It is intended for a broad audience of scientists, engineers, instructors, and students specializing in applied and computational mathematics, theoretical physics, mechanics, control theory, chemical engineering science, and other disciplines. Individual sections of the book and examples are suitable for lecture courses on partial differential equations, equations of mathematical physics, and methods of mathematical physics, for delivering special courses and for practical training.

Symmetry Methods for Differential Equations

Author : Peter Ellsworth Hydon
Publisher : Cambridge University Press
Page : 230 pages
File Size : 44,7 Mb
Release : 2000-01-28
Category : Mathematics
ISBN : 0521497868

Get Book

Symmetry Methods for Differential Equations by Peter Ellsworth Hydon Pdf

An introduction to symmetry methods, informally written and aimed at applied mathematicians, physicists, and engineers.

Games and Dynamics in Economics

Author : Ferenc Szidarovszky,Gian Italo Bischi
Publisher : Springer Nature
Page : 303 pages
File Size : 44,5 Mb
Release : 2020-04-11
Category : Mathematics
ISBN : 9789811536236

Get Book

Games and Dynamics in Economics by Ferenc Szidarovszky,Gian Italo Bischi Pdf

This book focuses on the latest advances in nonlinear dynamic modeling in economics and finance, mainly—but not solely—based on the description of strategic interaction by using concepts and methods from dynamic and evolutionary game theory. The respective chapters cover a range of theoretical issues and examples concerning how the qualitative theory of dynamical systems is used to analyze the local and global bifurcations that characterize complex behaviors observed in social systems where heterogeneous and boundedly rational economic agents interact. Nonlinear dynamical systems, represented by difference and differential and functional equations, are extensively used to simulate the behavior of time-evolving economic systems, also in the presence of time lags, discontinuities, and hysteresis phenomena. In addition, some theoretical issues and particular applications are discussed, as well. The contributions gathered here offer an up-to-date review of the latest research in this rapidly developing research area.

Symmetries And Nonlinear Phenomena - Proceedings Of The International School On Applied Mathematics

Author : D Levi,Pavel Winternitz
Publisher : World Scientific
Page : 473 pages
File Size : 45,9 Mb
Release : 1988-12-01
Category : Science
ISBN : 9789813201538

Get Book

Symmetries And Nonlinear Phenomena - Proceedings Of The International School On Applied Mathematics by D Levi,Pavel Winternitz Pdf

Starting from Sophus Lie, the invariance of a differential equation under its continuous group of symmetries has become a major tool for solving ordinary and partial differential equations, in particular, nonlinear ones. The proceedings focus on the application of these techniques to nonlinear partial differential equations. The state of the art in this field is presented clearly in a series of comprehensive lectures. Several lectures on applications point out the physical importance of such methods.

Introduction to Symmetry Analysis Paperback with CD-ROM

Author : Brian Cantwell
Publisher : Cambridge University Press
Page : 660 pages
File Size : 55,8 Mb
Release : 2002-09-23
Category : Mathematics
ISBN : 0521777402

Get Book

Introduction to Symmetry Analysis Paperback with CD-ROM by Brian Cantwell Pdf

An introduction to symmetry analysis for graduate students in science, engineering and applied mathematics.

Lie Theory and Its Applications in Physics

Author : Vladimir Dobrev
Publisher : Springer Nature
Page : 552 pages
File Size : 52,5 Mb
Release : 2020-10-15
Category : Science
ISBN : 9789811577758

Get Book

Lie Theory and Its Applications in Physics by Vladimir Dobrev Pdf

This volume presents modern trends in the area of symmetries and their applications based on contributions to the workshop "Lie Theory and Its Applications in Physics" held near Varna (Bulgaria) in June 2019. Traditionally, Lie theory is a tool to build mathematical models for physical systems. Recently, the trend is towards geometrization of the mathematical description of physical systems and objects. A geometric approach to a system yields in general some notion of symmetry, which is very helpful in understanding its structure. Geometrization and symmetries are meant in their widest sense, i.e., representation theory, algebraic geometry, number theory, infinite-dimensional Lie algebras and groups, superalgebras and supergroups, groups and quantum groups, noncommutative geometry, symmetries of linear and nonlinear partial differential operators, special functions, and others. Furthermore, the necessary tools from functional analysis are included. This is a large interdisciplinary and interrelated field. The topics covered in this volume from the workshop represent the most modern trends in the field : Representation Theory, Symmetries in String Theories, Symmetries in Gravity Theories, Supergravity, Conformal Field Theory, Integrable Systems, Polylogarithms, and Supersymmetry. They also include Supersymmetric Calogero-type models, Quantum Groups, Deformations, Quantum Computing and Deep Learning, Entanglement, Applications to Quantum Theory, and Exceptional Quantum Algebra for the standard model of particle physics This book is suitable for a broad audience of mathematicians, mathematical physicists, and theoretical physicists, including researchers and graduate students interested in Lie Theory.

Geometric Analysis of Nonlinear Partial Differential Equations

Author : Valentin Lychagin,Joseph Krasilshchik
Publisher : MDPI
Page : 204 pages
File Size : 51,8 Mb
Release : 2021-09-03
Category : Mathematics
ISBN : 9783036510460

Get Book

Geometric Analysis of Nonlinear Partial Differential Equations by Valentin Lychagin,Joseph Krasilshchik Pdf

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.

COMPUTATIONAL MODELS - Volume I

Author : Shaidurov Vladimir Viktorovich
Publisher : EOLSS Publications
Page : 542 pages
File Size : 53,5 Mb
Release : 2009-04-10
Category : Electronic
ISBN : 9781848260351

Get Book

COMPUTATIONAL MODELS - Volume I by Shaidurov Vladimir Viktorovich Pdf

Computational Models is a component of Encyclopedia of Mathematical Sciences in the global Encyclopedia of Life Support Systems (EOLSS), which is an integrated compendium of twenty one Encyclopedias. Modern Computational Mathematics arises in a wide variety of fields, including business, economics, engineering, finance, medicine and science. The Theme on Computational Models provides the essential aspects of Computational Mathematics emphasizing Basic Methods for Solving Equations; Numerical Analysis and Methods for Ordinary Differential Equations; Numerical Methods and Algorithms; Computational Methods and Algorithms; Numerical Models and Simulation. These two volumes are aimed at those seeking in-depth of advanced knowledge: University and College students Educators, Professional practitioners, Research personnel and Policy analysts, managers, and decision makers and NGOs.

Mathematical Methods in Engineering

Author : Kenan Taş,Dumitru Baleanu,J. A. Tenreiro Machado
Publisher : Springer
Page : 278 pages
File Size : 41,5 Mb
Release : 2018-08-21
Category : Technology & Engineering
ISBN : 9783319910659

Get Book

Mathematical Methods in Engineering by Kenan Taş,Dumitru Baleanu,J. A. Tenreiro Machado Pdf

This book collects chapters dealing with some of the theoretical aspects needed to properly discuss the dynamics of complex engineering systems. The book illustrates advanced theoretical development and new techniques designed to better solve problems within the nonlinear dynamical systems. Topics covered in this volume include advances on fixed point results on partial metric spaces, localization of the spectral expansions associated with the partial differential operators, irregularity in graphs and inverse problems, Hyers-Ulam and Hyers-Ulam-Rassias stability for integro-differential equations, fixed point results for mixed multivalued mappings of Feng-Liu type on Mb-metric spaces, and the limit q-Bernstein operators, analytical investigation on the fractional diffusion absorption equation.

Applied Mechanics Reviews

Author : Anonim
Publisher : Unknown
Page : 1208 pages
File Size : 54,7 Mb
Release : 1995
Category : Mechanics, Applied
ISBN : UCSD:31822020354148

Get Book

Applied Mechanics Reviews by Anonim Pdf

Symmetries of Integro-Differential Equations

Author : Sergey V. Meleshko,Yurii N. Grigoriev,N. Kh. Ibragimov,Vladimir F. Kovalev
Publisher : Springer Science & Business Media
Page : 315 pages
File Size : 55,7 Mb
Release : 2010-07-12
Category : Science
ISBN : 9789048137961

Get Book

Symmetries of Integro-Differential Equations by Sergey V. Meleshko,Yurii N. Grigoriev,N. Kh. Ibragimov,Vladimir F. Kovalev Pdf

This book provides an accessible yet comprehensive description of the application methods of group analysis to integro-differential equations. It offers both fundamental theoretical and algorithmic aspects of these methods and includes instructive examples.

Symmetries of Equations of Quantum Mechanics

Author : Vilʹgelʹm Ilʹich Fushchich,Anatoliĭ Glebovich Nikitin
Publisher : Unknown
Page : 492 pages
File Size : 53,6 Mb
Release : 1994
Category : Field theory (Physics)
ISBN : UOM:39015047448967

Get Book

Symmetries of Equations of Quantum Mechanics by Vilʹgelʹm Ilʹich Fushchich,Anatoliĭ Glebovich Nikitin Pdf