New types of exact solutions for the fourth-order dispersive cubic-quintic nonlinear Schrödinger equation |
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Authors: | Gui-Qiong Xu |
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Institution: | Department of Information Management, Shanghai University, Shanghai 200444, PR China |
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Abstract: | In this study, we use two direct algebraic methods to solve a fourth-order dispersive cubic-quintic nonlinear Schrödinger equation, which is used to describe the propagation of optical pulse in a medium exhibiting a parabolic nonlinearity law. By using complex envelope ansatz method, we first obtain a new dark soliton and bright soliton, which may approach nonzero when the time variable approaches infinity. Then a series of analytical exact solutions are constructed by means of F-expansion method. These solutions include solitary wave solutions of the bell shape, solitary wave solutions of the kink shape, and periodic wave solutions of Jacobian elliptic function. |
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Keywords: | The nonlinear Schrö dinger equation Soliton solution Periodic wave solution |
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