Asymptotic dynamical equations for an ensemble of nonlinear dispersive waves

DOI10.1016/0165-2125(79)90010-6zbMath0419.73028OpenAlexW2026625822MaRDI QIDQ1132668

Takuji Kawahara, Alan Jeffrey

Publication date: 1979

Published in: Wave Motion (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0165-2125(79)90010-6

zbMATH Keywords

propagationmultiple scalesasymptotic perturbation analysisinteraction of an ensemble of short waves and a long wavenonlinear dispersive mediumself-consistent dynamical equations

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Wave scattering in solid mechanics (74J20) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items (3)

Asymptotic dynamics of monochromatic short surface wind waves ⋮ Low-dimensional modelling of dynamics via computer algebra ⋮ A note on the multiple scale Fourier transform

Cites Work

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• On the non-linear energy transfer in a gravity-wave spectrum. Part 3. Evaluation of the energy flux and swell-sea interaction for a Neumann spectrum
• Random Wave Closures
• Weak Nonlinear Dispersive Waves: A Discussion Centered Around the Korteweg–De Vries Equation
• Interaction between Hydromagnetic Waves and a Time-Dependent, Inhomogeneous Medium
• On the non-linear energy transfer in a gravity wave spectrum Part 2. Conservation theorems; wave-particle analogy; irrevesibility
• Application of Mathieu's Equation to Stability of Non-Linear Oscillator

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