Geodesic
A scaled characteristics method for the asymptotic solution of weakly nonlinear wave equations
Electronic journal of differential equations, Tome 1998 (1998)
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.
Classification : 35C20, 35L20
Keywords: multiple scale, perturbation, nonlinear, waves 
@article{EJDE_1998__1998__a26,
     author = {Easwaran,  Chirakkal V.},
     title = {A scaled characteristics method for the asymptotic solution of weakly nonlinear wave equations},
     journal = {Electronic journal of differential equations},
     year = {1998},
     volume = {1998},
     zbl = {0886.35040},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_1998__1998__a26/}
}
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AU  - Easwaran,  Chirakkal V.
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JO  - Electronic journal of differential equations
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VL  - 1998
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%0 Journal Article
%A Easwaran,  Chirakkal V.
%T A scaled characteristics method for the asymptotic solution of weakly nonlinear wave equations
%J Electronic journal of differential equations
%D 1998
%V 1998
%U http://geodesic.mathdoc.fr/item/EJDE_1998__1998__a26/
%G en
%F EJDE_1998__1998__a26
Easwaran,  Chirakkal V. A scaled characteristics method for the asymptotic solution of weakly nonlinear wave equations. Electronic journal of differential equations, Tome 1998 (1998). http://geodesic.mathdoc.fr/item/EJDE_1998__1998__a26/