Nonlinear Dispersive Systems: Theory and Examples

DOI10.1002/sapm198369175zbMath0516.34054OpenAlexW2469954389MaRDI QIDQ3663684

F. A. Howes

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1002/sapm198369175

zbMATH Keywords

solitary wavesperturbation argumentsasymptotic techniquesconoidal wavesnonlinear dispersive systemsspike phenomena

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Asymptotic expansions of solutions to ordinary differential equations (34E05)

Related Items (4)

Local discontinuous Galerkin method for a third-order singularly perturbed problem of convection-diffusion type ⋮ Uniformly convergent difference schemes for a singularly perturbed third order boundary value problem ⋮ Boundary value problems of singularly perturbed integro-differential equations ⋮ Asymptotic structures in nonlinear dissipative and dispersive systems

Cites Work

• Phase-plane solutions to some singular perturbation problems
• Singularly Perturbed Semilinear Systems
• Singularly Perturbed Semilinear Robin Problems
• The Korteweg–deVries Equation: A Survey of Results
• On the theory of solitary Rossby waves
• Boundary-interior layer interactions in nonlinear singular perturbation theory
• Long Waves on Liquid Films
• Long Non‐Linear Waves in Fluid Flows

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