The coupled Sasa–Satsuma hierarchy: Trigonal curve and finite genus solutions

DOI10.1142/S0219530516500214zbMath1376.37113OpenAlexW2536384810MaRDI QIDQ5357456

Yunyun Zhai, Xiangguo Geng

Publication date: 8 September 2017

Published in: Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219530516500214

zbMATH Keywords

Baker-Akhiezer functiontrigonal curvecoupled Sasa-Satsuma hierarchyfinite-genus solution

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Relationships between algebraic curves and integrable systems (14H70) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Theta functions and curves; Schottky problem (14H42)

Related Items

Long-time asymptotics for the generalized Sasa-Satsuma equation ⋮ Long time and Painlevé-type asymptotics for the Sasa-Satsuma equation in solitonic space time regions ⋮ Algebro-geometric integration of a modified shallow wave hierarchy ⋮ Riemann-Hilbert approach and \(N\)-soliton solutions for a new two-component Sasa-Satsuma equation ⋮ Soliton, breather and rogue wave solutions of the coupled Gerdjikov-Ivanov equation via Darboux transformation ⋮ Riemann theta function solutions to the coupled long wave-short wave resonance equations ⋮ Riemann-Hilbert method for the three-component Sasa-Satsuma equation and its \(N\)-soliton solutions

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