Electronic Journal of Differential Equations,
Vol. 1998(1998), No. 03, pp. 1-10.

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

Author: Chirakkal V. Easwaran (State Univ. of New York, New Paltz, USA)

Abstract: 
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. 


Submitted August 5, 1997. Published January 31, 1998.
Math Subject Classification: 35C20, 35L20. 
Key Words: Multiple scale; perturbation; nonlinear; waves.