Variational Methods and Applications to Water Waves

DOI10.1007/978-3-642-87025-5_16zbMath0189.41902OpenAlexW4211065112MaRDI QIDQ5584167

G. B. Whitham

Publication date: 1970

Published in: Hyperbolic Equations and Waves (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-642-87025-5_16

zbMATH Keywords

variational calculuswater waves

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15)

Related Items (15)

Global bifurcation of solitary waves for the Whitham equation ⋮ Asymptotics for the modified Whitham equation ⋮ Numerical study of the Serre-Green-Naghdi equations and a fully dispersive counterpart ⋮ Asymptotic solutions of time-space fractional coupled systems by residual power series method ⋮ Steady-state solutions of a dispersive system of nonlinear waves ⋮ Solitary waves in a Whitham equation with small surface tension ⋮ Solitary wave solutions to a class of Whitham-Boussinesq systems ⋮ Complex model ultra-short pulses in optical fibers via generalized third-order nonlinear Schrödinger dynamical equation ⋮ Variational principles for perfect gas flows with strong discontinuities expressed in Euler variables ⋮ Homotopy series solutions to time-space fractional coupled systems ⋮ High-frequency instabilities of small-amplitude solutions of Hamiltonian PDEs ⋮ Asymptotics of solutions of a modified Whitham equation with surface tension ⋮ A note on acoustic turbulence ⋮ Waves generated by a submerged topography for the Whitham equation ⋮ Scaling in Rayleigh–Bénard convection

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