TY  - GEN
AU  - Roman M.Cherniha (Ed)
TI  - Lie and non-Lie Symmetries: Theory and Applications for Solving Nonlinear Models
SN  - 9783038425274
PY  - 2017///
PB  - MDPI - Multidisciplinary Digital Publishing Institute
KW  - Lie algebra/group
KW  - invariance algebra of nonlinear PDE
KW  - Lie symmetry
KW  - nonlinear boundary-value problem
KW  - (generalized) conditional symmetry
KW  - symmetry of (initial) boundary-value problem
KW  - invariant solution
KW  - exact solution
KW  - non-Lie solution
KW  - Q-conditional symmetry
KW  - representation of Lie algebra
KW  - nonclassical symmetry
KW  - invariance algebra of PDE
N1  - Open Access
N2  - 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)
UR  - http://www.mdpi.com/books/pdfview/book/369
UR  - https://directory.doabooks.org/handle/20.500.12854/51684
ER  -