محمود عطيه محمود ابراهيم خطاب
مدرس
Investigation of travelling wave solutions for the (3 + 1)‑dimensional hyperbolic nonlinear Schrödinger equation using Riccati equation and F‑expansion techniques
Optical and Quantum Electronics • 2023
معلومات البحث
المؤلفون
Mahmoud A. Khattab; Mohamed R. Ali; S. M. Mabrouk
الكلمات المفتاحية
Travelling wave solutions; Solitons; Hyperbolic non-linear Schrödinger
equations; Riccati equation method; F-expansion principle
المجلة العلمية
Optical and Quantum Electronics
الناشر
Springer US
المجلد
55
العدد
11
الصفحات
991
publication.type
International
رابط البحث
Open Link
المواد المرفقة
Not Available
الملخص
The (3 + 1)-dimensional hyperbolic nonlinear Schrödinger equation (HNLS) is used as a
model for different physical phenomena such as the propagation of electromagnetic fields,
the dynamics of optical soliton promulgation, and the evolution of the water wave surface.
In this paper, new and different exact solutions for the (3 + 1)-dimensional HNLS equation
is emerged by using two powerful methods named the Riccati equation method and the
F-expansion principle. The behaviors of resulting solutions are different and expressed by
dark, bright, singular, and periodic solutions. The physical explanations for the obtained
solutions are examined by a graphical representation in 3d profile plots.
model for different physical phenomena such as the propagation of electromagnetic fields,
the dynamics of optical soliton promulgation, and the evolution of the water wave surface.
In this paper, new and different exact solutions for the (3 + 1)-dimensional HNLS equation
is emerged by using two powerful methods named the Riccati equation method and the
F-expansion principle. The behaviors of resulting solutions are different and expressed by
dark, bright, singular, and periodic solutions. The physical explanations for the obtained
solutions are examined by a graphical representation in 3d profile plots.