A semidiscrete Gardner equation

被引:2
|
作者
Zhao, Haiqiong [1 ]
Zhu, Zuonong [2 ]
机构
[1] Shanghai Univ Int Business & Econ, Business Informat Management Sch, Shanghai 201620, Peoples R China
[2] Shanghai Jiao Tong Univ, Dept Math, Shanghai 200240, Peoples R China
基金
中国国家自然科学基金;
关键词
Semidiscrete Gardner equation; Darboux transformation; exact solution; DE-VRIES EQUATION; DIFFERENTIAL-DIFFERENCE EQUATIONS; MULTIPLE COLLISIONS; NONLINEAR LATTICE; WAVE-PROPAGATION; FOURIER-ANALYSIS; SOLITONS; TRANSFORMATION;
D O I
10.1007/s11464-013-0309-7
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We construct the Darboux transformations, exact solutions, and infinite number of conservation laws for a semidiscrete Gardner equation. A special class of solutions of the semidiscrete equation, called table-top solitons, are given. The dynamical properties of these solutions are also discussed.
引用
收藏
页码:1099 / 1115
页数:17
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