Results 61 to 70 of about 314 (173)

On the Study of Nonlinear Murray Equation in Non‐Newtonian Fluids: Fractional Solitary Wave Structures, Chaos, and Sensitivity Demonstration

Advances in Mathematical Physics, Volume 2025, Issue 1, 2025.
This article introduces fractional solitary wave structures to the nonlinear Murray equation by applying advanced techniques, namely the generalized Arnous method and the modified generalized Riccati equation mapping method (MGREMM). This equation is known as a generalization of the nonlinear reaction–diffusion equation, which describes the diffusion ...
J. Muhammad, U. Younas, Haroon, H. Mukalazi, M. E. Meligy, K. A. Alnowibet, Shikha Binwal   +6 more
wiley   +1 more source

Q-soliton solution for two-dimensional q-Toda lattice

Қарағанды университетінің хабаршысы. Физика сериясы, 2019
The Toda lattice is a non-linear evolution equation describing an infinite system of masses on a line that interacts through an exponential force. The paper analyzes the construction of soliton solution for the q-Toda lattice in the two-dimensional case.
Б.Б. Кутум, Г.Н. Шайхова
doaj   +1 more source

A class of lump solutions and localized excitations for the generalized (3 + 1)-dimensional KP equation

Results in Physics, 2020
Based on symbolic computation and Hirota bilinear form, a class of lump solutions for the (3 + 1)-dimensional generalized Kadomtsev-Petviashvili (gKP) equation is given. As a result, the lump solution shows a new perspective to knowledge them. Meanwhile,
Ping Cui
doaj   +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

Rational Localized Waves and Their Absorb-Emit Interactions in the (2 + 1)-Dimensional Hirota–Satsuma–Ito Equation

Mathematics, 2020
In this paper, we investigate the (2 + 1)-dimensional Hirota–Satsuma–Ito (HSI) shallow water wave model. By introducing a small perturbation parameter ϵ, an extended (2 + 1)-dimensional HSI equation is derived.
Yuefeng Zhou, Chuanjian Wang, Xiaoxue Zhang   +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

Lump Solutions and Interaction Solutions for the Dimensionally Reduced Nonlinear Evolution Equation

Complexity, 2019
In this paper, by means of the Hirota bilinear method, a dimensionally reduced nonlinear evolution equation is investigated. Through its bilinear form, lump solutions are obtained. We construct interaction solutions between lump solutions and one soliton
Baoyong Guo, Huanhe Dong, Yong Fang
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

Novel Soliton and Wave Solutions for the Dual‐Perturbed Integrable Boussinesq Equation

Complexity, Volume 2025, Issue 1, 2025.
Nonlinear science represents a foundational frontier in scientific inquiry that explores the shared characteristics inherent in nonlinear phenomena. This study focused on the perturbed Boussinesq (PB) equation incorporating dual perturbation terms. Soliton solutions were deduced by leveraging the traveling wave hypothesis. Furthermore, by employing the
Akhtar Hussain, Tarek F. Ibrahim, Faizah D. Alanazi, Waleed M. Osman, Arafa A. Dawood, Jorge Herrera, Xianggui Guo   +6 more
wiley   +1 more source

A Study of the Wave Dynamics for the Reaction‐Diffusion Brusselator System and RKL Equation

Discrete Dynamics in Nature and Society, Volume 2025, Issue 1, 2025.
In this article, the reaction‐diffusion Brusselator system and the Radhakrishnan, Kundu, and Laskshmanan (RKL) equation are discussed. The investigation is focused on the solution procedure of the nonlinear evolution equations in chemical and biological processes.
Onur Alp İlhan, Jalil Manafian, Deepali
wiley   +1 more source