NLS-type equations from quadratic pencil of Lax operators: negative flows
arXiv:2301.07225 · doi:10.1016/j.chaos.2022.112299
Abstract
We formulate and study an integrable model of Nonlinear Schrödinger (NLS)-type through its Lax representation, where one of the Lax operators is quadratic and the other has a rational dependence on the spectral parameter. We discuss the associated spectral problem, the Riemann-Hilbert problem formulation, the conserved quantities, as well as a generalisation for symmetric spaces. In addition we explore the possibilities for modelling with higher order NLS (HNLS) integrable equations and in particular, the relevance of the proposed system.
arXiv comment11 pages, LaTeX
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