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Multiple-soliton solutions for the Calogero–Bogoyavlenskii–Schiff, Jimbo–Miwa and YTSF equations

2008; Elsevier BV; Volume: 203; Issue: 2 Linguagem: Inglês

10.1016/j.amc.2008.05.004

1873-5649

Abdul‐Majid Wazwaz,

Algebraic structures and combinatorial models

In this work we employ the Hirota's bilinear method to derive multiple-front solutions for nonlinear evolution equations. Three models, namely, the (2 + 1)-dimensional Calogero–Bogoyavlenskii–Schiff equation, the (3 + 1)-dimensional Jimbo–Miwa equation, and the (3 + 1)-dimensional potential YTSF equation, are used as vehicles to conduct the analysis. The work shows the power of the bilinear method and the variety of the obtained front solutions.