Geodesic
A scaled characteristics method for the asymptotic solution of weakly nonlinear wave equations
Electronic Journal of Differential Equations, Tome 1998 (1998).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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},
     publisher = {mathdoc},
     volume = {1998},
     year = {1998},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_1998__1998__a26/}
}
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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/