Extended tanh-function method and reduction of nonlinear Schrödinger-type equations to a quadrature |
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Affiliation: | 1. College of Art and Sciences, Shanghai Maritime University, Shanghai 201306, PR China;2. Department of Mathematics, Shanghai University, Shanghai 200444, PR China |
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Abstract: | A method to construct the tanh-travelling wave solution of the nonlinear partial differential equations (NPDEs) is present, which combines the two kind methods—the tanh function series method and reduction of the NPDEs to a quadrature problem (RQ method). The nonlinear Schrödinger-type (NLS-type) equations (stable, unstable, inhomogeneous and derivative NLS equations, i.e., SNLS, UNLS, IHNLS and DNLS equations) are chosen to illustrate the method and tanh-travelling wave solutions are obtained. |
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