Stability of plane wave solutions of the two-space-dimensional nonlinear Schrödinger equation

DOI10.1016/0165-2125(80)90003-7zbMath0451.76018OpenAlexW1999101760MaRDI QIDQ1148159

David U. Martin, Philip G. Saffman, Henry C. Yuen

Publication date: 1980

Published in: Wave Motion (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0165-2125(80)90003-7

zbMATH Keywords

nonlinear Schrödinger equationplane wave solutionstwo-space-dimensional

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Solitary waves for incompressible inviscid fluids (76B25) Applications to the sciences (65Z05) Hydrodynamic stability (76E99)

Related Items

A mysterious threshold for transverse instability of deep-water solitons, Instabilities of one-dimensional trivial-phase solutions of the two-dimensional cubic nonlinear Schrödinger equation, Envelope solitons with stationary crests

Cites Work

• On the evolution of packets of water waves
• Nonlinear deep water waves: Theory and experiment
• Stability of a plane soliton to infinitesimal two-dimensional perturbations
• The disintegration of wave trains on deep water Part 1. Theory
• Unnamed Item