Explicit bi-soliton-like solutions for a generalized KP equation with variable coefficients

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Abstract

A generalized KP equation with variable coefficients, including the KP equation and the cylindrical KP equation as its special cases is investigated using a constructive algorithm and symbolic computation. Explicit bi-soliton-like solutions of the equation are obtained under certain constraints on the coefficient functions. For different coefficient functions, the solutions can model different types of bi-soliton-like waves. Some interesting bi-soliton-like waves are graphically revealed. © 2010 Elsevier Ltd.

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Lü, Z., & Xie, F. (2010). Explicit bi-soliton-like solutions for a generalized KP equation with variable coefficients. Mathematical and Computer Modelling, 52(9–10), 1423–1427. https://doi.org/10.1016/j.mcm.2010.05.024

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