Solitary Wave Solutions of a Generalized Derivative NonlinearSchrödinger Equation |
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| Authors: | WANG Ming-Liang ZHANG Jin-Liang LI Xiang-Zheng |
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| Affiliation: | 1. Science College, Henan University of Science and Technology,Luoyang 471003, China;2. Department of Mathematics, Lanzhou University, Lanzhou 730000, China |
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| Abstract: | With the aid of a class of nonlinear ordinary differential equation (ODE) and its various positive solutions, four types of exact solutions of the generalized derivative nonlinear Schrödinger equation (GDNLSE) have been found out, which are the bell-type solitary wave solution, the algebraic solitary wave solution, the kink-type solitary wave solution and the sinusoidal traveling wave solution, provided that the coefficients of GDNLSE satisfy certain constraint conditions. For more general GDNLSE, the similar results are also given. |
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| Keywords: | generalized derivative nonlinear Schrödingerequation bell-type solitary wave kink-typesolitary wave sinusoidal traveling wave |
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