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

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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Autore principale: Roman M. Cherniha (Ed.) (auth)
Natura: Capitolo di libro
Pubblicazione: MDPI - Multidisciplinary Digital Publishing Institute 2017
Soggetti:
Lie algebra/group
invariance algebra of nonlinear PDE
Lie symmetry
nonlinear boundary-value problem
(generalized) conditional symmetry
symmetry of (initial) boundary-value problem
invariant solution
exact solution
non-Lie solution
Q-conditional symmetry
representation of Lie algebra
nonclassical symmetry
invariance algebra of PDE
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