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arXiv · 1207.4634

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

S. Stalin·M. Senthilvelan
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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.

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S. Stalin, M. Senthilvelan. 2012-07-19. Multi loop soliton solutions and their interactions in the Degasperis-Procesi equation. https://doi.org/10.1088/0031-8949%2F86%2F01%2F015006

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