Intricate dynamics of rogue waves governed by the Sasa-Satsuma equation

DOI10.1016/j.physd.2019.132252zbMath1453.37066OpenAlexW2988559018WikidataQ126789173 ScholiaQ126789173MaRDI QIDQ2222752

Gui Mu, Zhen-Yun Qin, R. H. J. Grimshaw, Nail N. Akhmediev

Publication date: 27 January 2021

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physd.2019.132252

zbMATH Keywords

Darboux transformationSasa-Satsuma equationsecond-order rogue waves

Mathematics Subject Classification ID

Soliton equations (35Q51) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Soliton solutions (35C08)

Related Items (12)

Higher-order rogue wave solutions of the Sasa–Satsuma equation ⋮ General rogue wave solutions under SU(2) transformation in the vector Chen-Lee-Liu nonlinear Schrödinger equation ⋮ A vector Geng-Li model: new nonlinear phenomena and breathers on periodic background waves ⋮ High order rational solitons and their dynamics of the 3-wave resonant interaction equation ⋮ The initial-boundary value problems of the new two-component generalized Sasa-Satsuma equation with a \(4\times 4\) matrix Lax pair ⋮ Partial-rogue waves that come from nowhere but leave with a trace in the Sasa-Satsuma equation ⋮ Riemann-Hilbert problems and soliton solutions for a generalized coupled Sasa-Satsuma equation ⋮ Optical soliton solutions of (1 + 1)- and (2 + 1)-dimensional generalized Sasa–Satsuma equations using new Kudryashov method ⋮ Riemann-Hilbert approach and \(N\)-soliton solutions for a new two-component Sasa-Satsuma equation ⋮ Coupled derivative nonlinear Schrödinger III equation: Darboux transformation and higher-order rogue waves in a two-mode nonlinear fiber ⋮ Spectral and soliton structures of the Sasa-Satsuma higher-order nonlinear Schrödinger equation ⋮ Asymptotic dynamics of higher-order lumps in the Davey–Stewartson II equation

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