Results 1 to 10 of about 14,746 (169)

Innovative solutions for lossy nonlinear transmission lines model using a modified extended mapping approach with fractional effects [PDF]

Scientific Reports
This study investigates soliton solutions of the lossy nonlinear electrical transmission line (Loss-NLETL) model using the Modified Extended Mapping (Mod-EM) technique.
Hisham H. Hussein, Wassim Alexan, Shaimaa A. Kandil   +2 more
doaj   +2 more sources

Exploring novel soliton, wave solutions, and modulation instability analysis for the (3+1)-dimensional KP-SKR equation using the improved generalized Riccati equation mapping approach [PDF]

Scientific Reports
In this work, new soliton and wave solutions for the (3+1)-dimensional Kadomtsev-Petviashvili-Sawada-Kotera-Ramani equation (KP-SKRE) were derived using the improved generalized Riccati equation mapping method (IGREMM).
Noha M. Kamel, Hamdy M. Ahmed, Wafaa B. Rabie   +2 more
doaj   +2 more sources

Soliton solutions with bifurcation, sensitivity, chaotic and stability analysis of the (2+1)-dimensional Zoomeron equation using generalized Riccati equation mapping method [PDF]

Scientific Reports
The paper provides a dynamical study of the (2+1)-dimensional Zoomeron equation using the generalized Riccati equation mapping method. By applying an appropriate traveling wave transformation, the equation is reduced to an ordinary differential equation,
Arooma Zainab, Khaled M. Saad, Muhammad Abbas, Waleed M. Hamanah, Muhammad Zain Yousaf, Asnake Birhanu   +5 more
doaj   +2 more sources

Solitary and soliton solutions of the nonlinear fractional Chen Lee Liu model with beta derivative [PDF]

Scientific Reports
The nonlinear Chen-Lee-Liu (NCLL) model is a crucial mathematical model for assessing optical fiber communication systems. It incorporates various factors, including noise, dispersion, and nonlinearity, which can influence signal quality and data ...
Akhtar Hussain, Tarek F. Ibrahim, Faizah D. Alanazi, Waleed M. Osman, Arafa A. Dawood, Jorge Herrera   +5 more
doaj   +2 more sources

Abundant different types of soliton solutions for fractional modified KdV equation using auxiliary equation method [PDF]

Scientific Reports
This research focuses on investigating soliton solutions for the space-time fractional modified third-order Korteweg-de Vries equation using the auxiliary equation method. The Korteweg-de Vries equation is renowned for its application in modeling shallow-
Akhtar Hussain, Tarek F. Ibrahim, Fathea M. Osman Birkea, M. Sh. Yahya, Abaker A. Hassaballa, Herbert Mukalazi   +5 more
doaj   +2 more sources

Dynamical behavior of analytical solutions and bifurcation analysis for a novel structured (2+1)-dimensional Kadomtsev-Petviashvili equation via analytic approach [PDF]

Scientific Reports
This work represents a novel integration of both frameworks in a single analytical context by using the modified extended (ME) mapping approach to get new, exact solutions of the (2+1)-dimensional Kadomtsev–Petviashvili and Shallow Water Wave equations ...
Mohammed S. Ghayad, M. Y. Hamada, Hamdy M. Ahmed, Homan Emadifar, Karim K. Ahmed   +4 more
doaj   +2 more sources

Optical Soliton Solutions to Gerdjikov-Ivanov Equation Without Four-Wave Mixing Terms in Birefringent Fibers by Extended Trial Function Scheme

مجلة المختار للعلوم, 2021
Without four-wave mixing terms in birefringent fibers, the extended trial function scheme was used to obtain optical soliton solutions for the coupled system corresponding to the Gerdjikov-Ivanov equation.
Emad E. M. Mikael, Abdulmalik Altwaty, Bader Masry   +2 more
doaj   +1 more source

Exploration of New Optical Solitons in Magneto-Optical Waveguide with Coupled System of Nonlinear Biswas–Milovic Equation via Kudryashov’s Law Using Extended F-Expansion Method

Mathematics, 2023
Optical soliton solutions in a magneto-optical waveguide and other exact solutions are investigated for the coupled system of the nonlinear Biswas–Milovic equation with Kudryashov’s law using the extended F-expansion method.
Wafaa B. Rabie, Hamdy M. Ahmed, Walid Hamdy   +2 more
doaj   +1 more source

Derivation of new optical solitons for Biswas-Milovic equation with dual-power law nonlinearity using improved modified extended tanh-function method

Alexandria Engineering Journal, 2023
Cubic-quartic optical solitons and other solutions for Biswas-Milovic equation with dual-power law nonlinearity are investigated using improved modified extended tanh-function method.
Nivan M. Elsonbaty, Niveen M. Badra, Hamdy M. Ahmed, Ahmed M. Elsherbeny   +3 more
doaj   +1 more source

Soliton Solutions and Other Solutions for Kundu–Eckhaus Equation with Quintic Nonlinearity and Raman Effect Using the Improved Modified Extended Tanh-Function Method

Mathematics, 2022
Our paper studies the optical solitons for the Kundu–Eckhaus (KE) equation with quintic nonlinearity and Raman effect. By applying the improved modified extended tanh-function method, many soliton solutions can be obtained such as bright soliton ...
Karim K. Ahmed, Niveen M. Badra, Hamdy M. Ahmed, Wafaa B. Rabie   +3 more
doaj   +1 more source