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• W2049251010 abstract "Using the binary Darboux transformation for the (2 + 1)-dimensional dispersive long wave equation, the “universal” variable separable formula is extended in a different way. From the extended formula, much more abundant localized excitations with arbitrary boundary conditions for the dispersive long wave equation can be obtained. The results obtained via the multi-linear variable separation approach are only a special case of the first step binary Darboux transformation. Two special interacting solutions are explicitly given. Especially, one of the examples exhibits a new interacting phenomenon: a localized solitary wave (dromion) can force an extended wave (solitoff) go back." @default.
• W2049251010 created "2016-06-24" @default.
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• W2049251010 date "2005-06-01" @default.
• W2049251010 modified "2023-10-02" @default.
• W2049251010 title "New interaction property of (2+1)-dimensional localized excitations from Darboux transformation" @default.
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• W2049251010 doi "https://doi.org/10.1016/j.chaos.2004.09.006" @default.
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