Results 71 to 80 of about 3,928 (199)

Meromorphic exact solutions of the generalized Bretherton equation

, 2011
The generalized Bretherton equation is studied. The classification of the meromorphic traveling wave solutions for this equation is presented.
Abramowitz, Biswas, Demina, Demina, Dmitry I. Sinelshchikov, Eremenko, Hone, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Maria V. Demina, Nikolai A. Kudryashov, Parkes, Parkes, Vernov, Vitanov   +20 more
core   +1 more source

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

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

Bifurcation, Chaotic, Sensitivity Analysis, and Optical Soliton Profiles for the Spin Hirota–Maxwell–Bloch Equation in an Erbium‐Doped Fiber

Advances in Mathematical Physics, Volume 2025, Issue 1, 2025.
In this work, the reduced spin Hirota–Maxwell–Bloch (rsHMB) equation is examined analytically. This model is useful for characterizing the propagation of femtosecond pulses in an erbium‐doped fiber. The optical soliton solutions of the introduced rsHMB problem are constructed using the Jacobi elliptic function (JEF) expansion technique.
Asma Taskeen, Muhammad Ozair Ahmed, Muhammad Zafarullah Baber, Baboucarr Ceesay, Nauman Ahmed, Zine El Abiddine Fellah   +5 more
wiley   +1 more source

Explicit Solutions to the (3+1)-Dimensional Kudryashov-Sinelshchikov Equations in Bubbly Flow Dynamics

Journal of Applied Mathematics, 2018
A modified tanh-coth method with Riccati equation is used to construct several explicit solutions of (3+1)-dimensional Kudryashov-Sinelshchikov equations in bubble gas liquid flow. The solutions include solitons and periodic solutions. The method applied
Y. B. Chukkol, M. N. B. Mohamad, Mukhiddin Muminov   +2 more
doaj   +1 more source

Optical Soliton Structure Solutions, Sensitivity, and Modulation Stability Analysis in the Chiral Nonlinear Schrödinger Equation With Bohm Potential

Advances in Mathematical Physics, Volume 2025, Issue 1, 2025.
This study examines the optical soliton structure solutions, sensitivity, and modulation stability analysis of the chiral nonlinear Schrödinger equation (NLSE) with Bohm potential, a basic model in nonlinear optics and quantum mechanics. The equation represents wave group dynamics in numerous physical systems, involving quantum Hall and nonlinear ...
Ishrat Bibi, Shah Muhammad, Muhammad Shakeel, Baboucarr Ceesay, Ivan Giorgio   +4 more
wiley   +1 more source

Numerical simulations of stochastic conformable space–time fractional Korteweg-de Vries and Benjamin–Bona–Mahony equations

Nonlinear Engineering, 2021
In this paper, we investigate the effect of white noise on conformable time and space fractional KdV and BBM equations. For this purpose, we convert these equations with external noise to homogeneous conformable time and space fractional KdV and BBM ...
Pedram Leila, Rostamy Davoud
doaj   +1 more source

Exploring Nonlinear Dynamics and Solitary Waves in the Fractional Klein–Gordon Model

Advances in Mathematical Physics, Volume 2025, Issue 1, 2025.
Various nonlinear evolution equations reveal the inner characteristics of numerous real‐life complex phenomena. Using the extended fractional Riccati expansion method, we investigate optical soliton solutions of the fractional Klein–Gordon equation within this modified framework.
Md. Abde Mannaf, Muktarebatul Jannah, Md. Habibul Bashar, Md. Ekramul Islam, Md. Zuel Rana, Mst. Tania Khatun, Md. Noor-A-Alam Siddiki, Md. Shahinur Islam, Shikha Binwal   +8 more
wiley   +1 more source

Investigation of Dark and Bright Soliton Solutions of Some Nonlinear Evolution Equations

ITM Web of Conferences, 2018
In this paper, generalized Kudryashov method (GKM) is used to find the exact solutions of (1+1) dimensional nonlinear Ostrovsky equation and (4+1) dimensional Fokas equation. Firstly, we get dark and bright soliton solutions of these equations using GKM.
Demiray Seyma Tuluce, Bulut Hasan
doaj   +1 more source

Investigation of Fractional Behaviors for Physical Phenomena Equation and Ion‐Acoustic Wave Equation via Generalized Bernoulli Equation Method

Computational and Mathematical Methods, Volume 2025, Issue 1, 2025.
This research explores the fractional dynamics of two important nonlinear models: the (2 + 1)‐dimensional breaking soliton equation, which arises in the description of various physical phenomena such as shallow‐water waves, plasma oscillations, and optical solitons, and the (2 + 1)‐dimensional Chaffee–Infante equation, which serves as a fundamental ...
Weerachai Thadee, Pakakrong Tapparak, Panupong Vichitkunakorn, Anak Nongmanee, Sirasrete Phoosree, Higinio Ramos Calle   +5 more
wiley   +1 more source