The slowly varying phase shift for perturbed, single and multi-phased, strongly nonlinear, dispersive waves

DOI10.1016/0167-2789(89)90099-7zbMath0667.76029OpenAlexW2090722223MaRDI QIDQ1117779

Richard Haberman, F. Jay Bourland

Publication date: 1989

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(89)90099-7

zbMATH Keywords

perturbationsperturbation analysisexact equation for wave actionhigher-order perturbationSlowly varying, strongly nonlinear, dispersive, oscillatory waves

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15)

Related Items (1)

Phase Shift Modulations for Stable, Oscillatory, Traveling, Strongly Nonlinear Waves

Cites Work

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• Variation of wave action: Modulations of the phase shift for strongly nonlinear dispersive waves with weak dissipation
• Finite-zone, almost-periodic solutions in WKB approximations
• Two-timing, variational principles and waves
• Asymptotic solutions of nonlinear second order differential equations with variable coefficients
• The Modulated Phase Shift for Weakly Dissipated Nonlinear Oscillatory Waves of the Korteweg-deVries Type
• The Modulated Phase Shift for Strongly Nonlinear, Slowly Varying, and Weakly Damped Oscillators
• A general approach to linear and non-linear dispersive waves using a Lagrangian
• A perturbation method for nonlinear dispersive wave problems
• The Evolution of Multi‐Phase Modes for Nonlinear Dispersive Waves
• Asymptotic Theory of Nonlinear Wave Propagation

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