Quasi-periodic solutions for  complex Ginzburg-Landau equation of nonlinearity $|u|^{2p}u$

Hongzi Cong; Jianjun Liu; Xiaoping Yuan

doi:10.3934/dcdss.2010.3.579

Article Contents

2010, Volume 3, Issue 4: 579-600. Doi: 10.3934/dcdss.2010.3.579

This issue Previous Article Properly-degenerate KAM theory (following V. I. Arnold) Next Article Convergence radius in the Poincaré-Siegel problem

Quasi-periodic solutions for complex Ginzburg-Landau equation of nonlinearity $|u|^{2p}u$

1.
School of Mathematical Sciences, Fudan University, Shanghai 200433

Received: February 28, 2009

Revised: May 31, 2010

Published: November 2010

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Abstract

In this paper we prove that there is a Cantorian branch of 2-dimensional KAM invariant tori for the complex Ginzburg-Landau equation with the nonlinearity $|u|^{2p}u,\ p\geq1$.

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Mathematics Subject Classification: Primary: 37K55; Secondary: 35Q56, 35K55.

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