Periodic solutions of nonlinear Schrödinger type equations
Liu Guan-Ting (刘官厅)ab, Fan Tian-You (范天佑)a
a Department of Physics, Beijing Institute of Technology, Beijing 100081, China; b Department of Mathematics, Inner Mongolia Normal University, Huhhot 010022, China
Abstract By using the solutions of an auxiliary elliptic equation, a direct algebraic method is proposed to construct the exact solutions of nonlinear Schrödinger type equations. It is shown that many exact periodic solutions of some nonlinear Schrödinger type equations are explicitly obtained with the aid of symbolic computation, including corresponding envelope solitary and shock wave solutions.
Received: 08 October 2003
Revised: 03 November 2003
Accepted manuscript online:
Fund: Project supported by the National Natural Science Foundation of China (Grant No 10372016), the Inner Mongolia Natural Science Foundation (Grant No 200308020101) and the Key Programme of Scientific Research Foundation for Youth of Inner Mongolia Normal Uni
Cite this article:
Liu Guan-Ting (刘官厅), Fan Tian-You (范天佑) Periodic solutions of nonlinear Schrödinger type equations 2004 Chinese Physics 13 805
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