New exact travelling wave solutions of the generalized zakharov equations |
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| Authors: | Huiqun Zhang |
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| Institution: | College of Mathematical Science, Qingdao University, Qingdao, Shandong, 266071, China |
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| Abstract: | A direct algebraic method is introduced for constructing exact travelling wave solutions of nonlinear partial differential equations with complex phases. The scheme is implemented for obtaining multiple soliton solutions of the generalized Zakharov equations, and then new exact travelling wave solutions with complex phases are obtained. In addition, by using new exact solutions of an auxiliary ordinary differential equation, new exact travelling wave solutions for the generalized Zakharov equations are obtained. |
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| Keywords: | the generalized Zakharov equations exact complex solutions direct algebraic method auxiliary ordinary differential equation |
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