Decomposition of 2-Soliton Solutions for the Good Boussinesq Equations

Abstract

We consider decompositions of two-soliton solutions for the good Boussinesq equation obtained by the Hirota method and the Wronskian technique. The explicit forms of the components are used to study the dynamics of 2-soliton solutions. An interpretation in the context of eigenvalue problems arising from KdV type equations and transport equations is considered. Numerical examples are included.

Keywords:

• N-Solitons
• Wronskian Solutions
• KdV, Boussinesq

2000 Mathematics Subject Classification:

• 35C08
• 35Q35