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Interactions among Periodic Waves and Solitary Waves of the (2+1)-Dimensional Konopelchenko—Dubrovsky Equation

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2013 Chinese Physical Society and IOP Publishing Ltd
, , Citation Lei Ya and Lou Sen-Yue 2013 Chinese Phys. Lett. 30 060202 DOI 10.1088/0256-307X/30/6/060202

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1 Faculty of Science, Ningbo University, Ningbo 315211

2 Shanghai Key Laboratory of Trustworthy Computing, East China Normal University, Shanghai 200062

Dates

  1. Received 21 January 2013
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0256-307X/30/6/060202

Abstract

By using the truncated Painlevé analysis and the generalized tanh function expansion approaches, many interaction solutions among solitons and other types of nonlinear excitations of the Konopelchenko—Dubrovsky (KD) equation can be obtained. Particularly, the soliton-cnoidal wave interaction solutions are studied by means of the Jacobi elliptic functions and the third type of incomplete elliptic integrals.

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