Nonlinear asymptotic short-wave models in fluid dynamics

DOI10.1088/0305-4470/34/21/305zbMath1006.76014OpenAlexW1984514946MaRDI QIDQ2750770

M. A. Manna

Publication date: 21 October 2001

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0305-4470/34/21/305

zbMATH Keywords

small parametersurface tensionlong-time behaviorasymptotic methodsnecessary conditionsdispersive systemsGreen-Naghdi systemexistence of short-wave propagationmodified Green-Naghdi systemvelocity of wind

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Capillarity (surface tension) for incompressible inviscid fluids (76B45) Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45)

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Short wave limit of the Novikov equation and its integrable semi-discretizations ⋮ Approximate analytic compacton solutions of the K(p,p) equation by reduced differential transform method ⋮ On the particular solutions of an integrable equation governing short waves in a long-wave model ⋮ Cusp and loop soliton solutions of short-wave models for the Camassa-Holm and Degasperis-Procesi equations ⋮ Theory of small aspect ratio waves in deep water ⋮ Fractal structure of ferromagnets: The singularity structure analysis ⋮ Bifurcations and exact bounded travelling wave solutions for a partial differential equation

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