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• W331417637 abstract "We present a new symplectic structure and a hereditary recursion operator for the Sasa-Satsuma equation which is widely used in nonlinear optics. Using an integrodifferential substitution relating this equation to a third-order symmetry flow of the complex sine-Gordon II equation enabled us to find a hereditary recursion operator and higher Hamiltonian structures for the latter equation. We also show that both the Sasa-Satsuma equation and the third-order symmetry flow for the complex sine-Gordon II equation are bi-Hamiltonian systems, and we construct several hierarchies of local and nonlocal symmetries for these systems." @default.
• W331417637 created "2016-06-24" @default.
• W331417637 creator A5025969645 @default.
• W331417637 creator A5071600202 @default.
• W331417637 date "2007-04-01" @default.
• W331417637 modified "2023-09-24" @default.
• W331417637 title "Sasa-Satsuma (complex modified Korteweg–de Vries II) and the complex sine-Gordon II equation revisited: Recursion operators, nonlocal symmetries, and more" @default.
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• W331417637 doi "https://doi.org/10.1063/1.2710552" @default.
• W331417637 hasPublicationYear "2007" @default.
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