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Singular solitons, shock waves, and other solutions to potential KdV equation
Journal article   Peer reviewed

Singular solitons, shock waves, and other solutions to potential KdV equation

Gang-Wei Wang, Tian-Zhou Xu, Ghodrat Ebadi, Stephen Johnson, Andre J. Strong and Anjan Biswas
Nonlinear dynamics, Vol.76(2), pp.1059-1068
01/04/2014

Abstract

Engineering Engineering, Mechanical Mechanics Science & Technology Technology
This paper addresses the potential Korteweg-de Vries equation. The singular 1-soliton solution is obtained by the aid of ansatz method. Subsequently, the -expansion method and the exp-function approach also gives a few more interesting solutions. Finally, the Lie symmetry analysis leads to another plethora of solution to the equation. These results are going to be extremely useful and applicable in applied mathematics and theoretical physics.

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