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Mixed lump-kink solutions to the BKP equation

2017; Elsevier BV; Volume: 74; Issue: 3 Linguagem: Inglês

10.1016/j.camwa.2017.05.010

1873-7668

Jian‐bing Zhang, Wen‐Xiu Ma,

Advanced Fiber Laser Technologies

By using the Hirota bilinear form of the (2+1)-dimensional BKP equation, ten classes of interaction solutions between lumps and kinks are constructed through Maple symbolic computations beginning with a linear combination ansatz. The resulting lump-kink solutions are reduced to lumps and kinks when the exponential function and the quadratic function disappears, respectively. Analyticity is naturally guaranteed for the presented lump-kink solution if the constant term is chosen to be positive.