Darboux transformation and explicit solutions for the Satsuma-Hirota coupled equation

DOI10.1016/j.amc.2010.03.107zbMath1195.35260OpenAlexW1966361724MaRDI QIDQ984276

Xiangguo Geng, Guo-Liang He

Publication date: 19 July 2010

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2010.03.107

zbMATH Keywords

explicit solutionsDarboux transformationSatsuma-Hirota coupled equation

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Periodic solutions to PDEs (35B10) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Soliton solutions (35C08) Polynomial solutions to PDEs (35C11)

Related Items

Darboux transformation and novel solitons of a coupled system, New analytical positon, negaton and complexiton solutions of a coupled KdV-mKdV system, Algebro-geometric quasi-periodic solutions to the Satsuma-Hirota hierarchy, The full positive flows of Manakov hierarchy, Hamiltonian structures and conservation laws, Novel evolutionary behaviors of the mixed solutions to a generalized Burgers equation with variable coefficients, \(N\)-soliton solutions and elastic interaction of the coupled lattice soliton equations for nonlinear waves, Data-driven prediction of soliton solutions of the higher-order NLSE via the strongly-constrained PINN method

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Darboux transformations of classical Boussinesq system and its new solutions
• On Darboux transformations for soliton equations in high-dimensional spacetime
• On a new Darboux transformation for the construction of exact solutions of the Schrodinger equation
• The inverse scattering transform: Semi-infinite interval
• The reductions of the Darboux transformation and some solutions of the soliton equations
• Darboux Transformation and Soliton Solutions for Generalized Nonlinear Schrödinger Equations
• Two Integrable Coupled Nonlinear Systems