کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
5025549 1470588 2017 23 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
The generalized nonlinear higher order of KdV equations from the higher order nonlinear Schrödinger equation and its solutions
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
The generalized nonlinear higher order of KdV equations from the higher order nonlinear Schrödinger equation and its solutions
چکیده انگلیسی
The higher order nonlinear Schrödinger (NLS) equation describes ultra-short pluse propagation in optical fibres. The generalized nonlinear fifth-order of KdV equations derived from the higher order NLS equation by using multiple scales methods. We obtained the traveling wave solutions for some different kinds of the generalized nonlinear fifth-order of KdV (fifth-order Lax; fifth-order Ito; fifth-order Sawada-Kotera; fifth-order Kaup-Kupershmidt; fifth-order Caudrey-Dodd-Gibbon) equations by applying the auxiliary equation of the direct algebraic method. These solutions for the generalized fifth order KdV equations are obtained precisely and efficiency of the method can be demonstrated. The stability of these solutions and the movement role of the waves by making the graphs of the exact solutions are analyzed. All solutions are exact and stable.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Optik - International Journal for Light and Electron Optics - Volume 139, June 2017, Pages 31-43
نویسندگان
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