Darboux transformation of a two‐component generalized Sasa–Satsuma equation and explicit solutions

DOI10.1002/mma.7574zbMath1479.35718OpenAlexW3172429153MaRDI QIDQ5015765

Jiao Wei, Yihao Li, Yunyun Zhai, Xiangguo Geng

Publication date: 9 December 2021

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.7574

zbMATH Keywords

Darboux transformationrogue wave solutionsgeneralized Sasa-Satsuma equationtraveling soliton solutionsbreather soliton solutions

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) Hyperbolic conservation laws (35L65) Soliton equations (35Q51) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Traveling wave solutions (35C07) Soliton solutions (35C08)

Related Items (5)

The initial-boundary value problems of the new two-component generalized Sasa-Satsuma equation with a \(4\times 4\) matrix Lax pair ⋮ Soliton, breather, rogue wave and continuum limit in the discrete complex modified Korteweg-de Vries equation by Darboux-Bäcklund transformation ⋮ Time-fractional Davey–Stewartson equation: Lie point symmetries, similarity reductions, conservation laws and traveling wave solutions ⋮ A two-component Sasa-Satsuma equation: large-time asymptotics on the line ⋮ Soliton solutions for a two-component generalized Sasa-Satsuma equation

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