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A normal form for nonlinear resonance of embedded...
Journal article

A normal form for nonlinear resonance of embedded solitons

Abstract

A normal form for nonlinear resonance of embedded solitons is derived for a coupled twowave system that generalizes the secondharmonicgenerating model. This wave system is nonHamiltonian in general. An embedded soliton is a localized mode of the nonlinear system that coexists with the linear wave spectrum. It occurs as a result of a codimensionone bifurcation of nonlocal wave solutions. Nonlinearity couples the embedded soliton and the linear …

Authors

Pelinovsky DE; Yang J

Journal

Proceedings of the Royal Society A, Vol. 458, No. 2022, pp. 1469–1497

Publisher

The Royal Society

Publication Date

June 8, 2002

DOI

10.1098/rspa.2001.0916

ISSN

1364-5021