Conservation laws, soliton solutions and modulational instability for the higher-order dispersive nonlinear Schrödinger equation

被引：0
|
作者：
Hai-Qiang Zhang
Bo Tian
Xiang-Hua Meng
Xing Lü
Wen-Jun Liu
机构：
[1] School of Science,
[2] P. O. Box 122,undefined
[3] Beijing University of Posts and Telecommunications,undefined
[4] State Key Laboratory of Software Development Environment,undefined
[5] Beijing University of Aeronautics and Astronautics,undefined
[6] Key Laboratory of Information Photonics and Optical Communications (BUPT),undefined
[7] Ministry of Education,undefined
[8] P.O. Box 128,undefined
[9] Beijing University of Posts and Telecommunications,undefined
来源：
The European Physical Journal B | 2009年 / 72卷
关键词：
05.45.Yv Solitons; 02.30.Ik Integrable systems; 02.30.Jr Partial differential equations; 75.10.Hk Classical spin models;
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学科分类号：
摘要：
In this paper, analytically investigated is a higher-order dispersive nonlinear Schrödinger equation. Based on the linear eigenvalue problem associated with this equation, the integrability is identified by admitting an infinite number of conservation laws. By using the Darboux transformation method, the explicit multi-soliton solutions are generated in a recursive manner. The propagation characteristic of solitons and their interactions under the periodic plane wave background are discussed. Finally, the modulational instability of solutions is analyzed in the presence of small perturbation.
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页码：233 / 239
页数：6
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