کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1897734 | 1044570 | 2008 | 5 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Stability of plane-wave solutions of a dissipative generalization of the nonlinear Schrödinger equation
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Stability of plane-wave solutions of a dissipative generalization of the nonlinear Schrödinger equation Stability of plane-wave solutions of a dissipative generalization of the nonlinear Schrödinger equation](/preview/png/1897734.png)
چکیده انگلیسی
The modulational instability of perturbed plane-wave solutions of the cubic nonlinear Schrödinger (NLS) equation is examined in the presence of three forms of dissipation. We present two families of decreasing-in-magnitude plane-wave solutions to this dissipative NLS equation. We establish that all such solutions that have no spatial dependence are linearly stable, though some perturbations may grow a finite amount. Further, we establish that all such solutions that have spatial dependence are linearly unstable if a certain form of dissipation is present.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physica D: Nonlinear Phenomena - Volume 237, Issue 24, 15 December 2008, Pages 3292–3296
Journal: Physica D: Nonlinear Phenomena - Volume 237, Issue 24, 15 December 2008, Pages 3292–3296
نویسندگان
John D. Carter, Cynthia C. Contreras,