摘要

In this work we present a reliable treatment for two (2+1)-dimensional Korteweg-de Vries-like and Kadomtsev-Petviashvili-like equations. The Hirota bilinear method will be used to show that these two equations are not completely integrable equations. Unlike the completely integrable Korteweg-de Vries and Kadomtsev-Petviashvili equations, where multiple soliton solutions exist, only one-soliton and two-soliton solutions can be derived for each of the Korteweg-de Vries-like and Kadomtsev-Petviashvili-like equations.

  • 出版日期2010-12