Approximate Methods for Obtaining Multi‐Phase Modes in Nonlinear Dispersive Wave Problems

DOI10.1002/sapm197251117zbMath0261.76010OpenAlexW2290187154MaRDI QIDQ5677185

Mark J. Ablowitz

Publication date: 1972

Published in: Studies in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/sapm197251117

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Wave equation (35L05) Theoretical approximation in context of PDEs (35A35)

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Cites Work

• Two-timing, variational principles and waves
• Non-linear dispersive waves
• A perturbation method for nonlinear dispersive wave problems
• The disintegration of wave trains on deep water Part 1. Theory
• Non-linear dispersion of water waves
• Variational methods and applications to water waves
• The Evolution of Multi‐Phase Modes for Nonlinear Dispersive Waves