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- W2046392394 abstract "In this Letter, the modified Korteweg–de Vries (mKdV) equations with the focusing (+) and defocusing (−) branches are investigated, respectively. Many new types of binary travelling-wave periodic solutions are obtained for the mKdV equation in terms of Jacobi elliptic functions such as sn(ξ,m)cn(ξ,m)dn(ξ,m) and their extensions. Moreover, we analyze asymptotic properties of some solutions. In addition, with the aid of the Miura transformation, we also give the corresponding binary travelling-wave periodic solutions of KdV equation." @default.
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- W2046392394 date "2008-02-01" @default.
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- W2046392394 title "New binary travelling-wave periodic solutions for the modified KdV equation" @default.
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- W2046392394 doi "https://doi.org/10.1016/j.physleta.2007.08.043" @default.
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