Asymptotic Approximation of Hyperbolic Weakly Nonlinear Systems

DOI10.2991/JNMP.2001.8.4.2zbMath0991.35069OpenAlexW2592813411MaRDI QIDQ2766058

Raimondas Čiegis, Aleksandras Krylovas

Publication date: 1 September 2002

Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2991/jnmp.2001.8.4.2

zbMATH Keywords

resonanceaveraging methodshallow water problem

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) KdV equations (Korteweg-de Vries equations) (35Q53) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15)

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Cites Work

• Unnamed Item
• A Laplace-transform multiple-scale procedure for the asymptotic solution of weakly non-linear partial differential equations
• The asymptotic theory of semilinear perturbed telegraph equation and its application
• A fast spectral algorithm for nonlinear wave equations with linear dispersion
• Passages through resonance in weakly nonlinear systems
• Fast-slow dynamics for parabolic perturbations of conservation laws
• An Asymptotic Theory for a Weakly Nonlinear Beam Equation with a Quadratic Perturbation

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