Previous Issues
Volume :32 Issue : 2 2005
Add To Cart
Download
Asymptotic solution of weakly non-linear wave equations
Auther : A. GOLBABAI
Department of Applied Mathematics, Iran University of Science and Technology.
ABSTRACT
A multi-scale perturbation technique is formulated to asymptotically solve weakly nonlinear hyperbolic equations. The method is based on a set of scaled characteristic coordinates. It is shown that this technique leads to a simplified system of ordinary differential equations, describing the weakly non-linear interaction between left and right running waves. Using this method, a uniformly valid first order solution of a prototype nonlinear equation is derived.
Keywords: multiple-scale, nonlinear, perturbation, running waves.
MSC 2000: 74K99, 74M15.