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2013•Chinese Physics LettersOpen access

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

Ya Lei, Sen‐Yue Lou

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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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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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Available 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.

Key concepts: Elliptic function, Jacobi elliptic functions, Soliton, Elliptic integral, Periodic wave, Physics, Cnoidal wave, Nonlinear system

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