Abstract
The mapping and modified mapping methods, with a new mapping relation, have been developed to derive some new exact doubly periodic solutions of the (2+1)-D Kadomtsev-Petviashvili equation in terms of squares of Jacobian elliptic functions. The corresponding limit solutions such as triangular solutions, solitary wave solutions, and singular solutions in the case of the modulus of the elliptic function approaching 0 and 1 have also been derived.
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Krishnan, E.V. (2007). Some exact solutions of the (2 + 1)-dimensional Kadomtsev-Petviashvili equation. In: Taş, K., Tenreiro Machado, J.A., Baleanu, D. (eds) Mathematical Methods in Engineering. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-5678-9_16
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DOI: https://doi.org/10.1007/978-1-4020-5678-9_16
Publisher Name: Springer, Dordrecht
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