Quasi-Periodic Solutions for the Generalized Ginzburg-Landau Equation with Derivatives in the Nonlinearity |
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| Authors: | Hongzi?Cong,Meina?Gao mailto:mngao@sf.sspu.cn" title=" mngao@sf.sspu.cn" itemprop=" email" data-track=" click" data-track-action=" Email author" data-track-label=" " >Email author |
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| Affiliation: | 1.School of Mathematical Sciences,Dalian University of Technology,Dalian,People’s Republic of China;2.School of Mathematical Sciences,Fudan University,Shanghai,People’s Republic of China |
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| Abstract: | ![]()
In this paper, we discuss the existence of time quasi-periodic solutions for the generalized Ginzburg-Landau equation under periodic boundary conditions. By constructing a KAM theorem for dissipative systems with unbounded perturbations and multiple normal frequencies, we obtain a Cantorian branch of 2-dimensional invariant tori for the generalized Ginzburg-Landau equation. |
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