Second-harmonic resonance in non-conservative systems

DOI10.1016/0165-2125(92)90017-VzbMath0754.35128OpenAlexW2027031351MaRDI QIDQ1187916

S. Singh

Publication date: 13 August 1992

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

Full work available at URL: https://doi.org/10.1016/0165-2125(92)90017-v

zbMATH Keywords

singularitiespropagating solutionsquadratic interactionsseparable solutions

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Soliton equations (35Q51) Second-order parabolic systems (35K40)

Related Items (3)

Nonlinear evolution of the Kelvin-Helmholtz instability of supersonic tangential velocity discontinuities ⋮ Optical solitons due to quadratic nonlinearities: From basic physics to futuristic applications ⋮ Second-harmonic resonance with Faraday excitation

Cites Work

• Unnamed Item
• Creation of a soliton out of dissipation
• The resonant-triad nonlinear interaction in boundary-layer transition
• Exact solutions of non-conservative equations for three-wave and second-harmonic resonance
• A note on the exact solutions for non-conservative three-wave resonance
• Bifurcation and ’’strange’’ behavior in instability saturation by nonlinear three-wave mode coupling
• The lump solutions and the Bäcklund transformation for the three-dimensional three-wave resonant interaction
• Simple Harmonic Generation: an Exact Method of Solution
• Evolution in space and time of resonant wave triads - II. A class of exact solutions
• Resonant gravity-wave interactions in a shear flow
• Non-linear resonant instability in boundary layers

This page was built for publication: Second-harmonic resonance in non-conservative systems