Generalization of the method of full approximation and its applications

DOI10.1007/BF02098055zbMath0751.34035MaRDI QIDQ1192864

Shi-qiang Dai

Publication date: 27 September 1992

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

zbMATH Keywords

wavesnonlinear problemscoordinate transformationsmethod of full approximationasymptotic linearizationweakly nonlinear oscillations

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Singular perturbations in context of PDEs (35B25) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Singular perturbations of ordinary differential equations (34D15) Singular perturbations for ordinary differential equations (34E15)

Related Items (1)

Solution of nonlinear wave equation of elastic rod

Cites Work

• Perturbation methods in applied mathematics
• Approximate analytical solutions for some strongly nonlinear problems
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