Multiple-front solutions for the Burgers–Kadomtsev–Petviashvili equation

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摘要

In this work, we study a completely integrable dissipative equation. The Burgers equation is extended by using the sense of the Kadomtsev–Petviashvili (KP) equation. The new established Burgers–KP equation is studied by using the tanh–coth method to obtain kink solutions and periodic solutions. We also apply the powerful Hirota’s bilinear method to establish exact N-soliton solutions for the derived integrable equation.

论文关键词：Burgers equation,KP equation,Hirota’s bilinear method,tanh–coth method,Multiple-soliton solutions

论文评审过程：Available online 24 November 2007.

论文官网地址：https://doi.org/10.1016/j.amc.2007.11.032