Perturbative Analysis of Wave Interaction in Nonlinear Systems

Abstract

This work proposes a new way for handling obstacles to asymptotic integrability in perturbed nonlinear PDE’s within the method of Normal Forms (NF) for the case of multi-wave solutions. Instead of including the whole obstacle in the NF, only its resonant part (if one exists) is included in the NF, and the remainder is assigned to the homological equation… (More)

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Cite this paper

@inproceedings{Veksler2005PerturbativeAO, title={Perturbative Analysis of Wave Interaction in Nonlinear Systems}, author={Alex Veksler}, year={2005} }