A Ray Method for Slowly Modulated Nonlinear Waves

DOI10.1137/0145043zbMath0582.76012OpenAlexW2039272328MaRDI QIDQ3705089

John K. Hunter

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1137/0145043

zbMATH Keywords

dissipationperturbation methodKorteweg-de Vries equationasymptotic theorysolitary wave solutionswave profileperiodic wavesshallow water wavesweakly nonlinear geometrical opticsweak dispersionslowly varying inhomogeneitiesBurgers equation in the three-dimensional spacemodulated periodic wave solutionnearly hyperbolic equationscaled water waves on the free surfaceset of linear raysslow modulation of the wavevibrational mode of relaxationweakly dispersive and dissipative waves

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Partial differential equations of mathematical physics and other areas of application (35Q99)

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