A generalized Hirota-Satsuma coupled KdV system: Darboux transformations and reductions-Reference-Cited by-同舟云学术

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A generalized Hirota-Satsuma coupled KdV system: Darboux transformations and reductions

Published:2016-08 Issue:8 Volume:57 Page:083506
ISSN:0022-2488
Container-title:Journal of Mathematical Physics
language:en
Short-container-title:Journal of Mathematical Physics

Author:

Xue Lingling¹,Liu Q. P.²,Wang Dengshan³

Affiliation:

1. Department of Mathematics, Ningbo University, Ningbo 315211, People’s Republic of China

2. Department of Mathematics, China University of Mining and Technology, Beijing 100083, People’s Republic of China

3. School of Applied Science, Beijing Information Science and Technology University, Beijing 100192, People’s Republic of China

Funder

K. C. Wong Magna Fund

National Natural Science Foundation of China (NSFC)

Publisher

AIP Publishing

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Link

http://aip.scitation.org/doi/pdf/10.1063/1.4960747

Reference18 articles.

1. Soliton solutions of a coupled Korteweg-de Vries equation

2. A Coupled KdV Equation is One Case of the Four-Reduction of the KP Hierarchy

3. The affine lie algebra C(1)2 and an equation of Hirota and Satsuma

4. On the integrability of a system of coupled KdV equations

5. A hierarchy of coupled Korteweg-de Vries equations

Cited by 8 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Higher dimensional integrable deformations of a generalized Hirota-Satsuma coupled Korteweg-de Vries system;Discrete and Continuous Dynamical Systems - S;2024

2. The interaction of three long shallow-water waves with different dispersion relations modeled by generalized Hirota–Satsuma KdV systems with some variable coefficients;Nonlinear Dynamics;2023-09-30

3. On the form of Lie symmetries of systems with three pdes: The examples of two variable coefficient Hirota Satsuma systems;Partial Differential Equations in Applied Mathematics;2023-06

4. On the Darboux transformations of the Drinfeld-Sokolov-Satsuma-Hirota coupled KdV system;Reports on Mathematical Physics;2022-08

5. Comparison between three distinct perceptions to the new solitary solutions of the generalized Hirota–Satsuma coupling KDV system;Modern Physics Letters B;2022-05-20

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