Weakly non-linear extension of d'Alembert's formula

DOI10.1093/IMAMAT/HXS034zbMath1250.35154arXiv1203.3751OpenAlexW2963285678MaRDI QIDQ3165714

K. R. Moore, Karima R. Khusnutdinova

Publication date: 29 October 2012

Published in: IMA Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1203.3751

zbMATH Keywords

Boussinesq equationsolitonsinitial-value problemaveragingasymptotic multiple-scale expansion

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) KdV equations (Korteweg-de Vries equations) (35Q53)

Related Items (3)

Validity of the Weakly Nonlinear Solution of the Cauchy Problem for the Boussinesq-Type Equation ⋮ Numerical study of formation of solitary strain waves in a nonlinear elastic layered composite material ⋮ Weakly-Nonlinear Solution of Coupled Boussinesq Equations and Radiating Solitary Waves

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