Modified method of simplest equation for obtaining exact solutions of the Zakharov-Kuznetsov equation, the modified Zakharov-Kuznetsov equation, and their generalized forms. (English) Zbl 1349.35053
Summary: In this paper, we study the application of a version of the method of simplest equation for obtaining exact traveling wave solutions of the Zakharov-Kuznetsov equation, the modified Zakharov-Kuznetsov equation, and their generalized forms. The Duffing-type equation is used as simplest auxiliary equation. In the meantime, the proposed method is proved to be a powerful mathematical tool for obtaining exact solutions of nonlinear partial differential equations in mathematical physics.
MSC:
| 35C07 | Traveling wave solutions |
| 35A24 | Methods of ordinary differential equations applied to PDEs |
Keywords:
modified method of simplest equation; Zakharov-Kuznetsov equation; modified Zakharov-Kuznetsov equation; exact solutionsReferences:
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