Analytic Treatment for (2+1)-Dimensional Kortweg-de Vries-Like and Kadomtsev-Petviashvili-Like Equations
Affiliation:
1. Department of Mathematics, Saint Xavier University, Chicago, IL 60655, U. S.A.
Abstract
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.
Publisher
Walter de Gruyter GmbH
Subject
Physical and Theoretical Chemistry,General Physics and Astronomy,Mathematical Physics