Results 71 to 80 of about 259 (113)

Diverse Jacobi Elliptic Function Solutions and Dynamical Behaviors for a High-Order KdV Type Wave Equation via Extended F-Expansion Method

Mathematics
This paper focuses on a high-order Korteweg–de Vries wave equation. The extended F-expansion method, a modified form of Kudryashov’s auxiliary equation approach, is employed to construct Jacobi elliptic function solutions for this equation.
Jiayi Fu, Weixu Ni, Wenxia Chen
doaj   +1 more source

Dynamics of M-truncated optical solitons and other solutions to the fractional Kudryashov’s equation

Results in Physics
The study of soliton theory plays a crucial role in the telecommunication industry’s utilization of nonlinear optics. The principal area of research in the field of optical solitons revolves around optical fibers, metamaterials, metasurfaces, magneto ...
Usman Younas, Fengping Yao, Naila Nasreen, Aziz Khan, Thabet Abdeljawad   +4 more
doaj   +1 more source

Boundary value problem of Riemann-Liouville fractional differential equations in the variable exponent Lebesgue spaces Lp(.) [PDF]

This manuscript deals with the existence, uniqueness and stability of solutions to the boundary value problem (BVP) of Riemann-Liouville (RL) fractional differential equations (FDEs) in the variable exponent Lebesgue spaces (Lp(.)).
Hashemi, Mir Sajjad, İnç, Mustafa, Refice, Ahmed, Souid, Mohammed Said   +3 more
core   +1 more source

Genişletilmiş (2+1)-boyutlu kadomtsev–petviashvili denkleminin soliton çözümlerinin araştırılması [PDF]

This article presents an investigation for soliton solutions of the extended (2+1)-dimensional Kadomtsev–Petviashvili equation which describes wave behavior in shallow water. We utilize the unified Riccati equation expansion method.
Çınar, Melih
core   +1 more source

Unveiling the Dynamics of Nonlinear Landau-Ginzburg-Higgs (LGH) Equation: Wave Structures through Multiple Auxiliary Equation Methods

Journal of New Theory
This comprehensive investigation delves deeply into the intricate dynamics governed by the nonlinear Landau-Ginzburg-Higgs equation. It uncovers a diversity of semi-analytical solutions by leveraging three auxiliary equation methods within the traveling ...
Şerife Müge Ege
doaj   +1 more source

Solitary waves of the generalized Zakharov equations via integration algorithms [PDF]

In many applications, the investigation of traveling wave solutions is essential in obtaining an accurate description of the dynamical behavior of most physical phenomena.
Hammad Alotaibi
core   +1 more source

Solitary Wave Structures of the One-Dimensional Mikhailov-Novikov-Wang System Using Kudryashov's New Function Method

Proceedings of the International Conference on Applied Innovations in IT
Traveling waves and integrable equations are the most well-known features of nonlinear wave propagation phenomena. Analytical solutions to nonlinear integrable equations play an important role in examining the behaviour and structure of nonlinear systems.
Nadia Dahham Rashad, Mohammed Al-Amr, Ahmed Mohammed Fawze   +2 more
doaj   +1 more source

The new soliton solution types to the Myrzakulov-Lakshmanan-XXXII-equation [PDF]

Our attention concenters on deriving diverse forms of the soliton arising from the Myrzakulov-Lakshmanan XXXII (M-XXXII) that describes the generalized Heisenberg ferromagnetic equation.
Ahmet Bekir, Emad H. M. Zahran, Ratbay Myrzakulov, Reda A. Ibrahim   +3 more
core   +1 more source

Abundant solitons for highly dispersive nonlinear Schrödinger equation with sextic-power law refractive index using modified extended direct algebraic method

Alexandria Engineering Journal
In this paper, we investigate soliton solutions and other exact solutions of the highly dispersive perturbed nonlinear Schrödinger equation having Kudryashov's arbitrary form with sextic-power law of refractive index and generalized non-local laws ...
Wafaa B. Rabie, Hisham H. Hussein, Hamdy M. Ahmed, Mahmoud Alnahhass, Wassim Alexan   +4 more
doaj   +1 more source

Stochastic resonant NLSE with cubic-quintic-septic-nonlocal nonlinearity: Soliton dynamics and noise-induced phenomena

Ain Shams Engineering Journal
This research examines the stochastic resonant nonlinear Schrödinger equation (NLSE) with cubic-quintic-septic nonlocal nonlinearity in the It ô framework, incorporating spatio-temporal dispersion (STD), inter-modal dispersion (IMD), resonant ...
Nafissa T. Trouba, Huiying Xu, Reham M.A. Shohib, Mohamed E.M. Alngar, Walaa Mahfouz, Xinzhong Zhu, Mahmoud Mohamed Alderiny   +6 more
doaj   +1 more source