کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
8053207 | 1519426 | 2019 | 9 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Degeneracy in bright-dark solitons of the Derivative Nonlinear Schrödinger equation
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
سایر رشته های مهندسی
مکانیک محاسباتی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Degeneracy in bright-dark solitons of the Derivative Nonlinear Schrödinger equation Degeneracy in bright-dark solitons of the Derivative Nonlinear Schrödinger equation](/preview/png/8053207.png)
چکیده انگلیسی
Bright-dark soliton interactions modelled by the Derivative Nonlinear Schrödinger (DNLS) equation are constructed from non-vanishing boundary conditions by the N-fold Darboux transformation. Adjusting the limitation λkâλc1(λc2), where λc1(λc2) is a critical eigenvalue associated with the synchronization of the relative phase of the bright-dark solitons in the interacting area, enables to obtain different types of quasi-rational solutions from the bright-dark solitons degeneration. Namely, quasi-rational bright and dark solitons, quasi-rational bright-dark solitons and rogue waves are found. Since a large number of preceding researchers have already addressed the relationship between the breather solutions and rogue waves, a more general modelling of rogue waves can be realized via the consideration of degeneration of bright-dark solitons. Hence, the phenomenon discussed here represents a novel nonlinear mechanism for the generation of rogue waves.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics Letters - Volume 87, January 2019, Pages 64-72
Journal: Applied Mathematics Letters - Volume 87, January 2019, Pages 64-72
نویسندگان
Shuwei Xu, Lihong Wang, R. Erdélyi, Jingsong He,