کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1897232 1044502 2008 23 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Spectral stability analysis for periodic traveling wave solutions of NLS and CGL perturbations
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Spectral stability analysis for periodic traveling wave solutions of NLS and CGL perturbations
چکیده انگلیسی

We consider cnoidal traveling wave solutions to the focusing nonlinear Schrödinger equation (NLS) that have been shown to persist when the NLS is perturbed to the complex Ginzburg–Landau equation (CGL). We show that while these periodic traveling waves are spectrally stable solutions of NLS with respect to periodic perturbations, they are unstable with respect to bounded perturbations. Furthermore, we use an argument based on the Fredholm alternative to find an instability criterion for the persisting solutions to CGL.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physica D: Nonlinear Phenomena - Volume 237, Issue 13, 1 August 2008, Pages 1750–1772
نویسندگان
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