On the proximity between the wave dynamics of the integrable focusing nonlinear Schr\"odinger equation and its non-integrable generalizations

DOI10.1016/J.JDE.2024.03.005arXiv2307.16408MaRDI QIDQ6445664

Jesús Cuevas, Ioannis G. Stratis, Nikos I. Karachalios, Dionyssios Mantzavinos, Dirk Hennig

Publication date: 31 July 2023

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Stability in context of PDEs (35B35) NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Soliton solutions (35C08) Time-dependent Schrödinger equations and Dirac equations (35Q41)

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