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On the Discretization of the Coupled Integrable Dispersionless Equations

被引：18
|
作者：
Vinet, Luc [1 ]
Yu, Guo-Fu [1 ,2 ]
机构：
[1] Univ Montreal, Ctr Rech Math, Montreal, PQ H3C 3J7, Canada
[2] Shanghai Jiao Tong Univ, Dept Math, Shanghai 200240, Peoples R China
来源：
JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS | 2013年 / 20卷 / 01期
基金：
加拿大自然科学与工程研究理事会; 中国国家自然科学基金;
关键词：
Soliton solution; Integrable discretization; Hirota bilinear method; SINE-GORDON EQUATION; PARTIAL DIFFERENCE EQUATIONS; SOLITON-SOLUTIONS; BACKLUND TRANSFORMATION; TODA EQUATION; ANALOG;
D O I：
10.1080/14029251.2013.792476
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study the integrable discretization of the coupled integrable dispersionless equations. Two semi-discrete version and one full-discrete version of the system are given via Hirota's bilinear method. Soliton solutions for the derived discrete systems are also presented.
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页码：106 / 125
页数：20
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