Formal Linearization and Exact Solutions of Some Nonlinear Partial Differential Equations

Abstract

Abstract An efficient method for constructing of particular solutions of some nonlinear partial differential equations is introduced. The method can be applied to nonintegrable equations as well as to integrable ones. Examples include multisoliton and periodic solutions of the famous integrable evolution equation (KdV) and the new solutions, describing interaction of solitary waves of nonintegrable equation.

Cite this paper

@inproceedings{Baikov2002FormalLA, title={Formal Linearization and Exact Solutions of Some Nonlinear Partial Differential Equations}, author={V. A. Baikov and K R Khusnutdinova}, year={2002} }