Linear superposition method for (2+1)-dimensional nonlinear wave equations

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Published under licence by IOP Publishing Ltd
, , Citation Lin Ji et al 2006 Chinese Phys. 15 665 DOI 10.1088/1009-1963/15/4/002

1009-1963/15/4/665

Abstract

New forms of different-periodic travelling wave solutions for the (2+1)-dimensional Zakharov–Kuznetsov (ZK) equation and the Davey–Stewartson (DS) equation are obtained by the linear superposition approach of Jacobi elliptic function. A sequence of cyclic identities plays an important role in these procedures.

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10.1088/1009-1963/15/4/002