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

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-kn...

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Bibliographic Details
Main Author: Roman M. Cherniha ((Ed.))
Format: eBook
Language:English
Published: MDPI - Multidisciplinary Digital Publishing Institute 2017
Subjects:
Online Access:
Collection: Directory of Open Access Books - Collection details see MPG.ReNa
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100 1 |a Roman M. Cherniha  |e (Ed.) 
245 0 0 |a Lie and non-Lie Symmetries: Theory and Applications for Solving Nonlinear Models  |h Elektronische Ressource 
260 |b MDPI - Multidisciplinary Digital Publishing Institute  |c 2017 
300 |a 1 electronic resource (XII, 414 p.) 
653 |a exact solution 
653 |a invariant solution 
653 |a Lie algebra/group 
653 |a non-Lie solution 
653 |a Lie symmetry 
653 |a nonlinear boundary-value problem 
653 |a representation of Lie algebra 
653 |a nonclassical symmetry 
653 |a Q-conditional symmetry 
653 |a invariance algebra of nonlinear PDE 
653 |a invariance algebra of PDE 
653 |a (generalized) conditional symmetry 
653 |a symmetry of (initial) boundary-value problem 
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520 |a 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).