Group Invariances, Unfoldings and the Bifurcation of Capillary-Gravity Waves

DOI10.1142/S021812749700100XzbMath0904.76010OpenAlexW1988753163MaRDI QIDQ4393550

Mark C. W. Jones

Publication date: 30 September 1998

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s021812749700100x

zbMATH Keywords

nonlinear differential equationinfinite dimensional Banach spacefinite set of algebraic equations

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Capillarity (surface tension) for incompressible viscous fluids (76D45) Geometric theory, characteristics, transformations in context of PDEs (35A30)

Related Items (4)

Group Equivariant Singularity Theory in the Bifurcation of Interfacial Wilton Ripples ⋮ Resonant interfacial capillary-gravity waves in the presence of damping effects ⋮ Universal unfoldings of group invariant equations which model second and third harmonic resonant capillary-gravity waves ⋮ Double Degeneracy in the Immiscible Wilton Ripple Phenomenon: A Three Perturbation Parameter Problem in Bifurcation Theory

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