Standard Form and a Method of Averaging for Strongly Nonlinear Oscillatory Dispersive Traveling Waves

DOI10.1137/0151084zbMath0752.35067OpenAlexW2009762186MaRDI QIDQ3989415

Richard Haberman

Publication date: 28 June 1992

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0151084

zbMATH Keywords

oscillatory solutionstraveling wavesperturbation methodsnonlinear dispersive waves

Mathematics Subject Classification ID

Wave scattering in solid mechanics (74J20) Solitary waves for incompressible inviscid fluids (76B25) NLS equations (nonlinear Schrödinger equations) (35Q55) Averaging method for ordinary differential equations (34C29) Perturbations in context of PDEs (35B20)

Related Items (4)

Remark on the phase shift in the Kuzmak-Whitham ansatz ⋮ The multi-dimensional Hamiltonian structures in the Whitham method ⋮ On the minimal set of conservation laws and the Hamiltonian structure of the Whitham equations ⋮ On the canonical forms of the multi-dimensional averaged Poisson brackets

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