Direct Perturbation Method for Derivative Nonlinear
Schrödinger Equation |
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| Authors: | CHENG Xue-Ping LIN Ji HAN Ping |
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| Institution: | 1. School of Physics, Mathematics and Information Science, Zhejiang Ocean University, Zhoushan 316000, China
;2. College of Physics, Mathematics and Information Engineering,
Zhejiang Normal University, Jinhua 321004, China |
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| Abstract: | We extend Lou's direct perturbation
method for solving the nonlinear Schrödinger equation to the case of
the derivative nonlinear Schrödinger equation (DNLSE). By applying
this method, different types of perturbation solutions are obtained. Based on these approximate solutions, the analytical forms of soliton parameters, such as the velocity, the width and the initial position, are carried out and the effects of
perturbation on solitons are analyzed at the same time. A numerical simulation of perturbed DNLSE finally verifies the results of the perturbation method. |
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| Keywords: | direct perturbation method perturbed derivative nonlinear Schrödinger equation |
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