Exact Solutions and Invariant Subspaces of Nonlinear Partial Differential Equations in Mechanics and Physics

af Victor A. Galaktionov

Providing exact solutions of more than 200 nonlinear equations and models, this book begins with classical as well as more recent examples of interesting solutions on linear invariant subspaces for nonlinear operators. In the remainder of the book, the authors develop several techniques for constructing exact solutions that describe singularity behavior for various nonlinear PDEs, including gas dynamics models, free-boundary problems, Green-Naghdi equations, and quasilinear pseudo-parabolic (mag... (Læs mere)