Chirakkal V. Easwaran
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.
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