کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
5775191 | 1413577 | 2017 | 36 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Justification of the coupled mode asymptotics for localized wavepackets in the periodic nonlinear Schrödinger equation
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Justification of the coupled mode asymptotics for localized wavepackets in the periodic nonlinear Schrödinger equation Justification of the coupled mode asymptotics for localized wavepackets in the periodic nonlinear Schrödinger equation](/preview/png/5775191.png)
چکیده انگلیسی
We consider wavepackets composed of two modulated carrier Bloch waves with opposite group velocities in the one dimensional periodic Nonlinear Schrödinger/Gross-Pitaevskii equation. These can be approximated by first order coupled mode equations (CMEs) for the two slowly varying envelopes. Under a suitably selected periodic perturbation of the periodic structure the CMEs possess a spectral gap of the corresponding spatial operator and allow families of exponentially localized solitary waves parametrized by velocity. This leads to a family of approximate solitary waves in the periodic nonlinear Schrödinger equation. Besides a formal derivation of the CMEs a rigorous justification of the approximation and an error estimate in the supremum norm are provided. Several numerical tests corroborate the analysis.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 450, Issue 1, 1 June 2017, Pages 691-726
Journal: Journal of Mathematical Analysis and Applications - Volume 450, Issue 1, 1 June 2017, Pages 691-726
نویسندگان
TomáÅ¡ Dohnal, Lisa Helfmeier,