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.

引用

页码：1639 / 1652

页数：14

共 50 条

[1] Discrete analogues of the generalized coupled integrable dispersionless equations
Vinet, Luc
Yu, Guo-Fu
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2013, 46 (17)
[2] Quasi-Grammian Solutions of the Generalized Coupled Dispersionless Integrable System
Haider, Bushra
Mahmood-ul Hassan
SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS, 2012, 8
[3] Soliton solutions of the semi-discrete complex coupled dispersionless integrable system
Zhang, Wei-Guo
Wang, Meng-Yu
Song, Caiqin
APPLIED MATHEMATICS LETTERS, 2021, 113
[4] ON THE DRESSING METHOD FOR THE GENERALIZED COUPLED DISPERSIONLESS INTEGRABLE SYSTEM
Mushahid, Nosheen
Ul Hassan, Mahmood
MODERN PHYSICS LETTERS A, 2013, 28 (20)
[5] Darboux transformation of the generalized coupled dispersionless integrable system
Hassan, M.
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2009, 42 (06)
[6] Exact solutions and conservation laws of a coupled integrable dispersionless system
Khalique, Chaudry Masood
FILOMAT, 2012, 26 (05) : 957 - 964
[7] Darboux transformation of a semi-discrete coupled dispersionless integrable system
Riaz, H. Wajahat A.
ul Hassan, Mahmood
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2017, 48 : 387 - 397
[8] An integrable noncommutative generalization of the AB system and its multisoliton solutions
Riaz, H. Wajahat A.
ul Hassan, Mahmood
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2019, 79
[9] The periodic solutions for coupled integrable dispersionless equations
刘式适
赵强
刘式达
Chinese Physics B, 2011, 20 (04) : 9 - 11
[10] A generalization of coupled integrable, dispersionless system
Kakuhata, H
Konno, K
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1996, 65 (02) : 340 - 341

← 1 2 3 4 5 →