Negaton, positon and complexiton solutions of the nonisospectral KdV equations with self-consistent sources

✍ Scribed by Jun Su; Wei Xu; Genjiu Xu; Liang Gao

• Publisher: Elsevier Science
• Year: 2012
• Tongue: English
• Weight: 732 KB
• Volume: 17
• Category: Article
• ISSN: 1007-5704
• DOI: 10.1016/j.cnsns.2011.04.019

✦ Synopsis

The negaton, positon, and complexiton solutions of the nonisospectral KdV equations with self-consistent sources (KdVESCSs) are obtained by the generalized binary Darboux transformation (GBDT) with N arbitrary t-functions. Taking the special initial seed solution for auxiliary linear problems, the negaton, positon, and complexiton solutions of the nonisospectral KdVESCSs are considered through the GBDT by selecting the negative, positive and complex spectral parameters. It is important to point out that these solutions of the nonisospectral KdVESCSs are analytical and singular. We also show differences between these solutions with singularities. Moreover, the detailed characteristics of these solutions with nonisospectral properties and sources effects are described through some figures.