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

Deng, X. and Parkes, E.J. and Cao, J. (2010) Exact solitary and periodic-wave solutions of the K(2,2) equation (defocusing branch). Applied Mathematics and Computation, 217. pp. 1566-1576. ISSN 0096-3003

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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.