On localized solutions in nonlinear Faraday resonance

DOI10.1017/S0022112091001568zbMath0719.76017OpenAlexW2164272689MaRDI QIDQ5752149

E. W. Laedke, Karl H. Spatschek

Publication date: 1991

Published in: Journal of Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0022112091001568

zbMATH Keywords

long channeldynamics of a nonlinear modulated cross-wave of resonant frequency

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items

Numerical calculation of a standing soliton ⋮ Internal dynamics of the parametrically excited bound state of double solitary-waves ⋮ Numerical simulation of standing solitons and their interaction. ⋮ Parametrically excited nonlinear waves and their localizations ⋮ Faraday resonance: asymptotic theory of surface waves ⋮ Soliton-radiation coupling in the parametrically driven, damped nonlinear Schrödinger equation ⋮ On PT symmetry systems: invariance, conservation laws, and reductions ⋮ Solitary wave decay in non-linear Faraday resonance

Cites Work

• Theory of non-propagating surface-wave solitons
• Parametrically excited solitary waves
• Nonlinear Faraday resonance
• Maximum growth rates for packets of waves in water of finite depth