Universal unfoldings of group invariant equations which model second and third harmonic resonant capillary-gravity waves

DOI10.1016/S0898-1221(96)00186-1zbMath0953.76077OpenAlexW2018607820WikidataQ126988255 ScholiaQ126988255MaRDI QIDQ678459

Mark C. W. Jones

Publication date: 25 January 2001

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0898-1221(96)00186-1

zbMATH Keywords

second harmonicgroup invariant equationsresonant capillary-gravity wavesthird harmonic

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Capillarity (surface tension) for incompressible inviscid fluids (76B45) Symmetry analysis, Lie group and Lie algebra methods applied to problems in fluid mechanics (76M60)

Related Items (3)

Group Equivariant Singularity Theory in the Bifurcation of Interfacial Wilton Ripples ⋮ Bifurcation characteristics analysis of a class of nonlinear dynamical systems based on singularity theory ⋮ Double Degeneracy in the Immiscible Wilton Ripple Phenomenon: A Three Perturbation Parameter Problem in Bifurcation Theory

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