1st Edition
Exact Solutions and Invariant Subspaces of Nonlinear Partial Differential Equations in Mechanics and Physics
528 Pages
by
Chapman & Hall
528 Pages
by
Chapman & Hall
528 Pages
by
Chapman & Hall
Also available as eBook on:
Exact Solutions and Invariant Subspaces of Nonlinear Partial Differential Equations in Mechanics and Physics is the first book to provide a systematic construction of exact solutions via linear invariant subspaces for nonlinear differential operators. Acting as a guide to nonlinear evolution equations and models from physics and mechanics, the book focuses on the existence of new exact solutions... Read more
Introduction. Linear Invariant Subspaces in Quasilinear Equations. Invariant Subspaces and Modules. Parabolic Equations in One Dimension. Odd-Order One-Dimensional Equations. Quasilinear Wave and Boussinesq Models in One Dimension. Applications to Partial Differential Equations in IRN. Partially Invariant Subspaces, Invariant Sets, and Generalized Separation of Variables. Sign-Invariants for Second-Order Parabolic Equations and Exact Solutions. Invariant Subspaces for Discrete Operators, Moving Mesh Methods, and Lattices. References. List of Frequently Used Abbreviations. Index.
Biography
Galaktionov, Victor A.; Svirshchevskii, Sergey R.
