Dynamics and Exact Solutions of the Kadomtsev–Petviashvili Equation
摘要
Abstract
The article is devoted to the finite-dimensional dynamics of the Kadomtsev–Petviashvili equation and their use for constructing exact solutions. Finite-dimensional dynamics of evolutionary differential equations is a natural generalization of the theory of dynamical systems to partial differential equations. The necessary information on the finite-dimensional dynamics theory is given.