Exact solitary and periodic-wave solutions of the K(2,2) equation (defocusing branch)

Xijun Deng; E.J. Parkes; Jinlong Cao

doi:10.1016/j.amc.2009.06.054

Exact solitary and periodic-wave solutions of the K(2,2) equation (defocusing branch)

Xijun Deng, E.J. Parkes, Jinlong Cao

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Abstract

An auxiliary elliptic equation method is presented for constructing exact solitary and periodic travelling-wave solutions of the K(2, 2) equation (defocusing branch). Some known results in the literature are recovered more efficiently, and some new exact travelling-wave solutions are obtained. Also, new stationary-wave solutions are obtained.

Original language	English
Pages (from-to)	1566-1576
Number of pages	11
Journal	Applied Mathematics and Computation
Volume	217
Issue number	4
DOIs	https://doi.org/10.1016/j.amc.2009.06.054
Publication status	Published - 2010

Keywords

auxiliary elliptic equation method
solitary-wave solutions
periodic-wave solutions
K(2
2) equation

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abstract = "An auxiliary elliptic equation method is presented for constructing exact solitary and periodic travelling-wave solutions of the K(2, 2) equation (defocusing branch). Some known results in the literature are recovered more efficiently, and some new exact travelling-wave solutions are obtained. Also, new stationary-wave solutions are obtained.",

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AU - Deng, Xijun

AU - Parkes, E.J.

AU - Cao, Jinlong

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Y1 - 2010

N2 - An auxiliary elliptic equation method is presented for constructing exact solitary and periodic travelling-wave solutions of the K(2, 2) equation (defocusing branch). Some known results in the literature are recovered more efficiently, and some new exact travelling-wave solutions are obtained. Also, new stationary-wave solutions are obtained.

AB - An auxiliary elliptic equation method is presented for constructing exact solitary and periodic travelling-wave solutions of the K(2, 2) equation (defocusing branch). Some known results in the literature are recovered more efficiently, and some new exact travelling-wave solutions are obtained. Also, new stationary-wave solutions are obtained.

KW - auxiliary elliptic equation method

KW - solitary-wave solutions

KW - periodic-wave solutions

KW - K(2

KW - 2) equation

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U2 - 10.1016/j.amc.2009.06.054

DO - 10.1016/j.amc.2009.06.054

M3 - Article

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SP - 1566

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JO - Applied Mathematics and Computation

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ER -

Exact solitary and periodic-wave solutions of the K(2,2) equation (defocusing branch)

Abstract

Keywords

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