Abstract
The Sasa–Satsuma equation is an integrable higher-order nonlinear Schrödinger (NLS) equation. Higher-order and multicomponent generalizations of the NLS equation are important in various applications, e.g., in optics. One of these equations is the Sasa–Satsuma equation. We present the binary Darboux transformations (BDTs) for the Sasa–Satsuma equation and then construct its quasigrammians solutions by iterating its BDTs. Single-hump, double-hump, breather and resonant two-solitons solutions are given as explicit examples.
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More From: Journal of Physics A: Mathematical and Theoretical
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