A scaled characteristics method for the asymptotic solution of weakly nonlinear wave equations

Autor: Chirakkal V. Easwaran
Jazyk: angličtina
Rok vydání: 1998
Předmět:
Zdroj: Electronic Journal of Differential Equations, Vol 1998, Iss 03, Pp 1-10 (1998)
Druh dokumentu: article
ISSN: 1072-6691
Popis: We formulate a multi-scale perturbation technique to asymptotically solve weakly nonlinear hyperbolic equations. The method is based on a set of scaled characteristic coordinates. We show that this technique leads to a simplified system of ordinary differential equations describing the weakly nonlinear interaction between left and right running waves. Using this method, a uniformly valid first order solution of a prototype nonlinear equation is derived.
Databáze: Directory of Open Access Journals