Abstract
In this paper, we construct loop soliton solutions and mixed soliton–loop soliton solutions for the Degasperis–Procesi equation. To explore these solutions, we adopt the procedure given by Matsuno (2005 Inverse Problems21 1553). 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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