New approach to the asymptotic theory of nonlinear oscillations and wave- propagation

DOI10.1016/0022-247X(75)90200-0zbMath0296.34038WikidataQ60468428 ScholiaQ60468428MaRDI QIDQ1213553

Wiktor Eckhaus

Publication date: 1975

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) First-order nonlinear hyperbolic equations (35L60) Asymptotic properties of solutions to ordinary differential equations (34D05) Asymptotic expansions of solutions to ordinary differential equations (34E05)

Related Items

Higher-order averaging for nonperiodic systems ⋮ Asymptotics for a class of semilinear hyperbolic equations with an application to a problem with a quadratic nonlinearity ⋮ Multibreather solitons in the diffraction managed NLS equation ⋮ Improved N-th order averaging theory for periodic systems ⋮ Error bounds for perturbation methods ⋮ On the existence and geometry of invariant tori in the method of averaging ⋮ Asymptotic Solution of the Weakly Nonlinear Schrödinger Equation with Variable Coefficients

Cites Work

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• An asymptotic theory for a class of weakly nonlinear oscillations
• A Perturbation Method for Hyperbolic Equations with Small Nonlinearities
• AVERAGING IN SYSTEMS OF ORDINARY DIFFERENTIAL EQUATIONS
• On the Nature of the Spectrum of Singular Second Order Linear Differential Equations

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