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New interaction property of (2+1)-dimensional localized excitations from Darboux transformation

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  • Hu, H.C.
  • Lou, S.Y.

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.

Suggested Citation

  • Hu, H.C. & Lou, S.Y., 2005. "New interaction property of (2+1)-dimensional localized excitations from Darboux transformation," Chaos, Solitons & Fractals, Elsevier, vol. 24(5), pages 1207-1216.
    • Handle: RePEc:eee:chsofr:v:24:y:2005:i:5:p:1207-1216
    DOI: 10.1016/j.chaos.2004.09.006
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