Integrability and gauge equivalence of the reverse space-time nonlocal Sasa-Satsuma equation. (English) Zbl 1390.35335
Summary: The integrability of the reverse space-time nonlocal Sasa-Satsuma equation in the Liouville sense is established by showing the existence of infinitely many conservation laws and putting into a bi-Hamiltonian form. Further, we show that the nonlocal Sasa-Satsuma equation for focusing case and defocusing case is, respectively, gauge equivalent to a generalized Heisenberg-like equation and a modified generalized Heisenberg-like equation. Finally, by using of special variable transformations, various kinds of nonlinear waves are obtained from those of the classical counterpart.
MSC:
| 35Q55 | NLS equations (nonlinear Schrödinger equations) |
| 37K10 | Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) |
Keywords:
reverse space-time nonlocal Sasa-Satsuma equation; integrability; gauge equivalent; nonlinear wavesReferences:
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