Breakdown of Modulational Approximations in Nonlinear Wave Interaction

Details Breakdown of Modulational Approximations in Nonlinear Wave Interaction Breakdown of Modulational Approximations in Nonlinear Wave Interaction

1999-05-26

arxiv.org/abs/chao-dyn/9905040v1

Nonlinear Sciences

Chaotic Dynamics

6 pages, 2 eps figures with this file + 1 big eps figure also at http://pcpl6.if.ufrgs.br/fig1.ser.eps.gz . Submitted to Phys.

Scientific paper

In this work we investigate the validity limits of the modulational
approximation as a method to describe the nonlinear interaction of conservative
wave fields. We focus on a nonlinear Klein-Gordon equation and suggest that the
breakdown of the approximation is accompanied by a transition to regimes of
spatiotemporal chaos.

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