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Mixed lump–kink solutions to the KP equation
Journal article   Open access  Peer reviewed

Mixed lump–kink solutions to the KP equation

Hai-qiong Zhao and Wen-Xiu Ma
Computers & mathematics with applications (1987), Vol.74(6), pp.1399-1405
15/09/2017

Abstract

Bilinear form Lump solution Soliton solution
By using the Hirota bilinear form of the KP equation, twelve classes of lump–kink solutions are presented under the help of symbolic computations with Maple. Analyticity is naturally achieved by taking special choices of the involved parameters to guarantee a positive constant term. A key step in generating lump–kink solutions is to combine quadratic functions and the exponential function in the second-order logarithmic derivative transformation.
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https://doi.org/10.1016/j.camwa.2017.06.034View
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