Higher-order modulation effects on solitary wave envelopes in deep water

DOI10.1017/S0022112089000182zbMath0662.76029OpenAlexW1981206800MaRDI QIDQ3813455

T. R. Akylas

Publication date: 1989

Published in: Journal of Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0022112089000182

zbMATH Keywords

nonlinear Schrödinger equationsolitary-wave solutionsdeep waterwave steepnesslong-time evolution of solitary wave

Mathematics Subject Classification ID

Solitary waves for incompressible inviscid fluids (76B25) Partial differential equations of mathematical physics and other areas of application (35Q99) Basic methods in fluid mechanics (76M99)

Related Items (5)

Higher-order modulation effects on solitary wave envelopes in deep water Part 2. Multi-soliton envelopes ⋮ About shape of giant breather ⋮ Wave modulation: the geometry, kinematics, and dynamics of surface-wave packets ⋮ Focusing deep-water surface gravity wave packets: wave breaking criterion in a simplified model ⋮ Envelope solitons with stationary crests

Cites Work

• On a fourth-order envelope equation for deep-water waves
• A numerical study of water-wave modulation based on a higher-order nonlinear Schrödinger equation
• Perturbations of Solitons and Solitary Waves

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