Nonlocal reductions of the multicomponent nonlinear Schrödinger equation on symmetric spaces

DOI10.1134/S0040577918100033zbMath1405.37077arXiv1711.10833MaRDI QIDQ1716178

Erdal Karapınar

Publication date: 4 February 2019

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1711.10833

zbMATH Keywords

inverse scattering transformRiemann-Hilbert problemnonlinear Schrödinger equationdressing methodLax representationintegrable systemZakharov-Shabat systemspectral decompositions\(\mathcal{PT}\) symmetry

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) NLS equations (nonlinear Schrödinger equations) (35Q55) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15) Riemann-Hilbert problems in context of PDEs (35Q15)

Related Items (4)

Nonlocal Yajima-Oikawa system: binary Darboux transformation, exact solutions and dynamic properties ⋮ Soliton solutions to constrained nonlocal integrable nonlinear Schrödinger hierarchies of type (−λ,λ) ⋮ Inverse scattering and soliton solutions of nonlocal complex reverse-spacetime mKdV equations ⋮ Multi-place physics and multi-place nonlocal systems

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