A discrete generalized coupled dispersionless integrable system and its multisoliton solutions

被引：8
|
作者：
Riaz, H. Wajahat A. [1 ]
ul Hassan, Mahmood [1 ]
机构：
[1] Univ Punjab, Dept Phys, Quaid E Azam Campus, Lahore 54590, Pakistan
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2018年 / 458卷 / 02期
关键词：
Discrete integrable systems; Solitons; Darboux transformation; SOLITON-SOLUTIONS; TODA HIERARCHY; TRANSFORMATION;
D O I：
10.1016/j.jmaa.2017.10.046
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
An integrable discretization of generalized coupled dispersionless (dGCD) integrable system via Lax pair is presented. A Lax pair for the dGCD system is defined. A Darboux transformation is used on the Lax pair to obtain multi-soliton solutions of the dGCD system. The solutions are expressed in terms of quasideterminants. Explicit expressions of discrete one- and two-soliton solutions are obtained for the SU(2) case by using properties of quasideterminants. We also study continuous analogue of the dOCD system by applying continuum limit. (C) 2017 Elsevier Inc. All rights reserved.
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页码：1639 / 1652
页数：14
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