1207.4634 (S. Stalin et al.)

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

S. Stalin, M. Senthilvelan

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 $\tau$-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.

View original: http://arxiv.org/abs/1207.4634