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
Original language | English |
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Pages (from-to) | 1-11 |
Number of pages | 11 |
Journal | Journal of Mathematical Physics |
Volume | 48 |
Issue number | 4 |
DOIs | |
Publication status | Published - Apr 2007 |