Darboux transformation of the Drinfeld-Sokolov-Satsuma-Hirota system and exact solutions

DOI10.1016/j.aop.2015.06.017zbMath1360.37168OpenAlexW822134289MaRDI QIDQ527847

Ruomeng Li, Xiangguo Geng

Publication date: 12 May 2017

Published in: Annals of Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aop.2015.06.017

zbMATH Keywords

exact solutionDarboux transformationDrinfeld-Sokolov-Satsuma-Hirota system

Mathematics Subject Classification ID

Transform methods (e.g., integral transforms) applied to PDEs (35A22) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

Related Items (9)

A vector Geng-Li model: new nonlinear phenomena and breathers on periodic background waves ⋮ Darboux transformation and novel solitons of a coupled system ⋮ Nonlocal symmetry and similarity reductions for the Drinfeld-Sokolov-Satsuma-Hirota system ⋮ A vector general nonlinear Schrödinger equation with \((m+n)\) components ⋮ Periodic and rational solutions of the reduced Maxwell-Bloch equations ⋮ Higher-order solutions of a matrix AKNS system associated with a Hermitian symmetric space ⋮ A generalization of the Landau-Lifschitz equation: breathers and rogue waves ⋮ On the Darboux transformations of the Drinfeld-Sokolov-Satsuma-Hirota coupled KdV system ⋮ Darboux transformations of the one-dimensional stationary Dirac equation with linear potential and its new solutions

Cites Work

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• Integrable KdV systems: Recursion operators of degree four
• Auto-Bäcklund transformations and superposition formulas for solutions of Drinfeld-Sokolov systems
• Bäcklund transformation and special solutions for the Drinfeld-Sokolov-Satsuma-Hirota system of coupled equations
• On a new Darboux transformation for the construction of exact solutions of the Schrodinger equation
• Darboux Transformation and Soliton Solutions for Generalized Nonlinear Schrödinger Equations
• A new integrable generalization of the Korteweg–de Vries equation

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