Results 51 to 60 of about 250 (116)

Wave propagation in discrete cold bosonic atoms zig–zag optical lattice [PDF]

, 2022
In this paper, we investigated the propagation of the modulated waves patterns in the cold bosonic atom zig–zag optical array where the first nearest neighbor and second nearest neighbor (SNN) are considered.
Abbagari, Souleymanou, Akinyemi, Lanre, Doka, Serge Yamigno, Houwe, Alphonse, İnç, Mustafa   +4 more
core   +1 more source

Dynamical Analysis of Wave Solutions for the Complex Ginzburg−Landau and (4 + 1)‐Dimensional Fokas Equations With Beta Derivative

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This study propounds a detailed report on the exact wave solutions of the complex fractional Ginzburg−Landau equation (CFGLE) with quadratic‐cubic law nonlinearity and (4 + 1)‐dimensional fractional Fokas equation (FFE). For this purpose, the aforementioned equations are transformed into nonlinear ordinary differential equations (NLODEs) within the ...
Özlem Kırcı, Yusuf Pandır, Yusuf Gurefe, Hussain Juya, Yongqiang Fu   +4 more
wiley   +1 more source

On the analytical soliton solutions of (1+1)-dimensional complex coupled nonlinear Higgs field model [PDF]

, 2023
In this paper, the analytical solutions of the complex coupled Higgs field equation, which explains a system of conserved scalar nucleons that interact with neutral scalar mesons in particle physics, are extracted.
Bayram, Mustafa, Seçer, Aydın, Çınar, Melih, Özışık, Müslüm   +3 more
core   +1 more source

Diverse general solitary wave solutions and conserved currents of a generalized geophysical Korteweg–de Vries model with nonlinear power law in ocean science

Mathematical Methods in the Applied Sciences, Volume 48, Issue 4, Page 5039-5063, 15 March 2025.
This article presents an analytical investigation performed on a generalized geophysical Korteweg–de Vries model with nonlinear power law in ocean science. To start with, achieving diverse solitary wave solutions to the generalized power‐law model involves using wave transformation, which reduces the model to a nonlinear ordinary differential equation.
Oke Davies Adeyemo
wiley   +1 more source

Diverse exact solutions to Davey–Stewartson model using modified extended mapping method [PDF]

In this study, we obtain solitary wave solutions and other exact wave solutions for Davey–Stewartson equation (DSE), which explains how waves move through water with a finite depth while being affected by gravity and surface tension.
Ahmed, Hamdy, Ahmed, Karim K., Badra, Niveen M., Eslami, Mostafa, Mirzazadeh, Mohammad, Rabie, Wafaa B.   +5 more
core   +2 more sources

Retrieval of the optical soliton solutions of the perturbed Schrödinger–Hirota equation with generalized anti‐cubic law nonlinearity having the spatio‐temporal dispersion

Mathematical Methods in the Applied Sciences, Volume 48, Issue 2, Page 2164-2178, 30 January 2025.
In this study, we obtained optical soliton solutions of the perturbed nonlinear Schrödinger–Hirota equation with generalized anti‐cubic law nonlinearity in the presence of spatio‐temporal dispersion. This equation models the propagation of optical pulses in fiber optic cables.
Ismail Onder, Aydin Secer, Muslum Ozisik, Mustafa Bayram   +3 more
wiley   +1 more source

Advanced Mathematical Approaches for the Kadomtsev–Petviashvili and Bogoyavlensky–Konopelchenko Equations in Applied Sciences

Abstract and Applied Analysis, Volume 2025, Issue 1, 2025.
The Kadomtsev–Petviashvili (KP) equation and the Bogoyavlensky–Konopelchenko (BK) equation are fundamental models in the study of nonlinear wave dynamics, describing the evolution of weakly dispersive, quasi‐two‐dimensional (2D) wave phenomena in integrable systems.
Md. Abdul Aziz, Jingli Ren
wiley   +1 more source

The Bifurcation and Exact Solution of the Nonlinear Schrödinger Equation with Kudryashov’s Quintic Power Law of the Refractive Index Together with the Dual Form of Nonlocal Nonlinearity

Mathematics
This study investigates a nonlinear Schrödinger equation that includes Kudryashov’s quintic power-law refractive index along with dual-form nonlocal nonlinearity.
Cailiang Chen, Mengke Yu, Qiuyan Zhang
doaj   +1 more source

Gaussian solitary waves to Boussinesq equation with dual dispersion and logarithmic nonlinearity [PDF]

, 2018
This paper discusses shallow water waves that is modeled with Boussinesq equation that comes with dual dispersion and logarithmic nonlinearity.
Biswas, Anjan, Ekici, Mehmet, Sonmezoglu, Abdullah   +2 more
core   +2 more sources

Abundant Families of Explicit Solitary Wave Structure for the Time‐Fractional Nonlinear Electrical Transmission Line Model With Its Modulation Instability

Advances in Mathematical Physics, Volume 2025, Issue 1, 2025.
In this work, the abundant families of solitary wave solutions for the (2 + 1) dimensional time‐fractional nonlinear electrical transmission line (TFNLETL) model are investigated. To obtained these solutions, a well‐known approach is used namely, the Sardar subequation method.
Nadia Javed, Nauman Ahmed, Baboucarr Ceesay, Muhammad Zafarullah Baber, Kang-Jia Wang   +4 more
wiley   +1 more source