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An extended subequation rational expansion method with symbolic computation and solutions of the nonlinear Schrödinger equation model |
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| Authors: | Yong Chen Biao Li |
| Institution: | aInstitute of Theoretical Computing, East China Normal University, Shanghai, 200062, China bNonlinear Science Center, Ningbo University, Ningbo 315211, China cKey Laboratory of Mathematics Mechanization, Chinese Academy of Sciences, Beijing 100080, China |
| Abstract: | To construct exact analytical solutions of nonlinear evolution equations, an extended subequation rational expansion method is presented and used to construct solutions of the nonlinear Schrödinger equation with varing dispersion, nonlinearity, and gain or absorption. As a result, many previous known results of the nonlinear Schrödinger equation can be recovered by means of some suitable selections of the arbitrary functions and arbitrary constants. With computer simulation, the properties of a new non-travelling wave soliton-like solutions with coefficient functions and some elliptic function solutions are shown by some figures. |
| Keywords: | Subequation rational expansion method Schrödinger equation Like-solitons Like-periodic function solution |
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