Integrable nonlocal reductions

DOI10.1007/978-3-030-01376-9_2zbMath1421.35336arXiv1805.01695OpenAlexW3026310488MaRDI QIDQ2313093

Metin Gürses, Aslı Pekcan

Publication date: 18 July 2019

Full work available at URL: https://arxiv.org/abs/1805.01695

zbMATH Keywords

soliton solutionsHirota bilinear methodAblowitz-Musslimani-type reductionsnonlocal Fordy-Kulish systemnonlocal NLS and mKdV equationsnonlocal super integrable NLS and mKdV equations

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton solutions (35C08)

Related Items (8)

Nonlocal hydrodynamic type of equations ⋮ \((2+1)\)-dimensional local and nonlocal reductions of the negative AKNS system: soliton solutions ⋮ Nonlocal coupled HI-MKdv systems ⋮ Discrete symmetries and nonlocal reductions ⋮ Nonlocal KdV equations ⋮ Multicomponent nonlinear evolution equations of the Heisenberg ferromagnet type: local versus nonlocal reductions ⋮ Superposition of the coupled NLS and MKdV systems ⋮ Soliton solutions of the shifted nonlocal NLS and MKdV equations

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