Non-linear wave propagation solutions by Fourier transform perturbation

DOI10.1016/0020-7462(81)90003-2zbMath0471.73015OpenAlexW2086379949MaRDI QIDQ1157986

S. H. Smith

Publication date: 1981

Published in: International Journal of Non-Linear Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0020-7462(81)90003-2

zbMATH Keywords

class of one-dimensional second order wave equationsFourier transform perturbation methodreduced to solution of pair of coupled non-linear ordinary differential equations in Fourier spacesmall non-linearitiesuniformly valid asymptotic approximations

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Wave equation (35L05) Perturbations in context of PDEs (35B20)

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