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Shock wave solution of the variable coefficient nonlinear partial differential equations |
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| Authors: | Ozkan Guner |
| Institution: | Faculty of Economics and Administrative Sciences, Department of International Trade, Cankiri Karatekin University, Cankiri, Turkey |
| Abstract: | In this paper, we consider a variable coefficient Calogero–Degasperis equation, a variable coefficient potential Kadomstev–Petviashvili equation and the generalized (3+1)‐dimensional variable coefficient Kadomtsev–Petviashvili equation with time‐dependent coefficients. Shock wave solutions for the considered models are obtained by using ansatz method in the form of tanhp function. The physical parameters in the soliton solutions are obtained as functions of the dependent coefficients. Copyright © 2016 John Wiley & Sons, Ltd. |
| Keywords: | solitons shock waves the variable coefficient Calogero‐Degasperis equation the variable coefficients potential Kadomstev– Petviashvili equation the generalized (3+1)‐dimensional variable coefficient Kadomtsev– Petviashvili equation |