Exact solutions and linear stability analysis for two-dimensional Ablowitz–Ladik equation

doi:10.1088/1674-1056/23/4/044208

中国物理B ›› 2014, Vol. 23 ›› Issue (4): 44208-044208.doi: 10.1088/1674-1056/23/4/044208

• ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS • 上一篇下一篇

Exact solutions and linear stability analysis for two-dimensional Ablowitz–Ladik equation

张金良, 王红县

School of Mathematics and Statistics, Henan University of Science and Technology, Luoyang 471023, China

收稿日期:2013-05-28 修回日期:2013-07-14 出版日期:2014-04-15 发布日期:2014-04-15
基金资助:
Project supported by the Basic Science and the Front Technology Research Foundation of Henan Province, China (Grant Nos. 092300410179 and 122102210427), the Doctoral Scientific Research Foundation of Henan University of Science and Technology, China (Grant No. 09001204), the Scientific Research Innovation Ability Cultivation Foundation of Henan University of Science and Technology, China (Grant No. 011CX011), and the Scientific Research Foundation of Henan University of Science and Technology (Grant No. 2012QN011).

Exact solutions and linear stability analysis for two-dimensional Ablowitz–Ladik equation

Zhang Jin-Liang (张金良), Wang Hong-Xian (王红县)

School of Mathematics and Statistics, Henan University of Science and Technology, Luoyang 471023, China

Received:2013-05-28 Revised:2013-07-14 Online:2014-04-15 Published:2014-04-15
Contact: Zhang Jin-Liang E-mail:zhangjin6602@163.com
About author:42.81.Dp; 42.65.Tg; 02.30.Jr; 05.45.Yv
Supported by:
Project supported by the Basic Science and the Front Technology Research Foundation of Henan Province, China (Grant Nos. 092300410179 and 122102210427), the Doctoral Scientific Research Foundation of Henan University of Science and Technology, China (Grant No. 09001204), the Scientific Research Innovation Ability Cultivation Foundation of Henan University of Science and Technology, China (Grant No. 011CX011), and the Scientific Research Foundation of Henan University of Science and Technology (Grant No. 2012QN011).

摘要/Abstract

摘要： The Ablowitz-Ladik equation is a very important model in nonlinear mathematical physics. In this paper, the hyperbolic function solitary wave solutions, the trigonometric function periodic wave solutions, and the rational wave solutions with more arbitrary parameters of two-dimensional Ablowitz-Ladik equation are derived by using the (G'/G)-expansion method, and the effects of the parameters (including the coupling constant and other parameters) on the linear stability of the exact solutions are analysed and numerically simulated.

关键词: two-dimensional Ablowitz-Ladik equation, linear stability, exact solution, numerical simulation

Abstract: The Ablowitz-Ladik equation is a very important model in nonlinear mathematical physics. In this paper, the hyperbolic function solitary wave solutions, the trigonometric function periodic wave solutions, and the rational wave solutions with more arbitrary parameters of two-dimensional Ablowitz-Ladik equation are derived by using the (G'/G)-expansion method, and the effects of the parameters (including the coupling constant and other parameters) on the linear stability of the exact solutions are analysed and numerically simulated.

Key words: two-dimensional Ablowitz-Ladik equation, linear stability, exact solution, numerical simulation

中图分类号: (Propagation, scattering, and losses; solitons)

42.81.Dp

42.65.Tg (Optical solitons; nonlinear guided waves) 02.30.Jr (Partial differential equations) 05.45.Yv (Solitons)

张金良, 王红县. Exact solutions and linear stability analysis for two-dimensional Ablowitz–Ladik equation[J]. 中国物理B, 2014, 23(4): 44208-044208.

Zhang Jin-Liang (张金良), Wang Hong-Xian (王红县). Exact solutions and linear stability analysis for two-dimensional Ablowitz–Ladik equation[J]. Chin. Phys. B, 2014, 23(4): 44208-044208.

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Exact solutions and linear stability analysis for two-dimensional Ablowitz–Ladik equation

Exact solutions and linear stability analysis for two-dimensional Ablowitz–Ladik equation

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