New soliton-like solutions to the potential Kadomstev–Petviashvili (PKP) equation

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Abstract

In this paper, new soliton-like solutions are obtained for (2+1)-dimensional potential Kadomstev–Petviashvili (PKP) equation by using the symbolic computation method developed by Gao and Tian. Solitary wave solutions obtained in [Appl. Math. Comput 123 (2001) 29] are merely a special case in this paper. The method can also be extended to other types of nolionear evolution equations in mathematical physics.

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Acknowledgements

The paper was supported by the NKBRSF of China (G1998030600), the NNSF of China (10072013) and Higher Education Commission Doctoral Foundation of China (98014119).

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