Solutions with Functional Parameters of 2+1-Dimensional Integrable Nonlinear Equations. Two Dimensional Integrable Generalization of the Kaup-Kupershmidt Equation

摘要

With the help of the Zakharov-Manakov -dressing method, new classes of exact solutions with functional parameters of a two-dimensional integrable generalization of the Kaup-Kupershmidt equation have been constructed. It is shown that the constructed solutions contain soliton solutions and a subclass of new periodic solutions. Nonsingular solutions are also present among the constructed periodic solutions.