Multi loop soliton solutions and their interactions in the Degasperis-Procesi equation

2012/07/19 by S. Stalin, M. Senthilvelan · 1 citation
Physics and Astronomy · Mathematics · #math-ph #math.MP #nlin.SI

paper · pdf · doi:10.1088/0031-8949/86/01/015006

Published in Physica Scripta (2012)

arxiv created 2012/07/19 · arxiv updated 2012/07/23

Abstract

In this article, we construct loop soliton solutions and mixed soliton - loop soliton solution for the Degasperis-Procesi equation. To explore these solutions we adopt the procedure given by Matsuno. By appropriately modifying the τ-function given in the above paper we derive these solutions. We present the explicit form of one and two loop soliton solutions and mixed soliton - loop soliton solutions and investigate the interaction between (i) two loop soliton solutions in different parametric regimes and (ii) a loop soliton with a conventional soliton in detail.

Cited by

• Loop-type geometric folding of exact solutions of shifted nonlocal NLS and MKdV equations

Related

• An integrable semi-discrete Degasperis-Procesi equation
• Soliton dynamics for the general Degasperis-Procesi equation
• Solitons and peaked solitons for the general Degasperis-Procesi model
• Cauchy problem and multi-soliton solutions for a two-component short pulse system
• Soliton resolution and asymptotic stability of N-solitons to the Degasperis-Procesi equation on the line