Two-dimensional nonlinear Schrödinger equations and their properties

DOI10.1016/0167-2789(94)00097-2zbMath0824.35120OpenAlexW1995008076MaRDI QIDQ1344749

Ronald E. Kates, D. J. Kaup

Publication date: 12 November 1995

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: http://cds.cern.ch/record/271007

zbMATH Keywords

Djordjevic-Redekopp systemintegrable regimemodulational instability regimemodulationally stable regimeself-focusing regime

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) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35)

Cites Work

• Inverse scattering transform method and soliton solutions for Davey- Stewartson II equation
• The inverse scattering solution for the full three dimensional three-wave resonant interaction
• Contribution of Higher Order Terms in the Reductive Perturbation Theory. I. A Case of Weakly Dispersive Wave
• On the evolution of packets of water waves
• On the inverse scattering transform of multidimensional nonlinear equations related to first-order systems in the plane
• First and second order nonlinear evolution equations from an inverse spectral problem
• On two-dimensional packets of capillary-gravity waves
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