Results 61 to 70 of about 481 (193)

Constructing Traveling Wave Solutions via a Generalized Expansion Method for Nonlinear Evolution Equations Possessing Variable Coefficients

Advances in Mathematical Physics, Volume 2026, Issue 1, 2026.
In this article, a highly generalized way of studying nonlinear evolution equations (NLEEs) with time‐dependent variable coefficients is provided. The innovative exact solutions of the Kadomtsev–Petviashvili (KP) equation and the modified Korteweg–de Vries (mKdV) equation with temporal variable coefficients are evaluated by using the extended ...
Abdul Saboor, Xianhua Song, Muhammad Shakeel, Muhammad Qamar Fareed, Baboucarr Ceesay, Kang-Jia Wang   +5 more
wiley   +1 more source

Novel explicit breath wave and numerical solutions of an Atangana conformable fractional Lotka–Volterra model

Alexandria Engineering Journal, 2021
This research studies novel analytical solutions of an Atangana conformable fractional Lotka–Volterra (LV) model system arising in ecology by means of three systematic schemes (the extended simplest equation method, modified Kudryashov method, and the ...
Mostafa M.A. Khater, Mohamed S. Mohamed, Hammad Alotaibi, M.A. El-Shorbagy, S.H. Alfalqi, J.F. Alzaidi, Dianchen Lu   +6 more
doaj   +1 more source

Impact of the Properties of Microstructured Solids on the Propagation of Hybrid Solitary Waves

International Journal of Differential Equations, Volume 2026, Issue 1, 2026.
Microstructured solids exhibit complex wave propagation dynamics due to the interplay between nonlinearity, dispersion, dissipation, and higher‐order spatiotemporal effects induced by their internal architecture. In this work, we investigate how these properties influence the propagation of hybrid solitary waves governed by a generalized strain‐wave ...
Stallon Mezezem Songna, Jean Roger Bogning, Francois Beceau Pelap, Elena Kaikina   +3 more
wiley   +1 more source

Structure of Analytical and Numerical Wave Solutions for the Nonlinear (1 + 1)-Coupled Drinfel’d–Sokolov–Wilson System Arising in Shallow Water Waves

Mathematics, 2023
In this article, we successfully obtain novel solutions for the coupled Drinfel’d–Sokolov–Wilson DSW system utilizing various methods. These include soliton solutions characterized by hyperbolic, rational, and trigonometric functions.
Sumayah Hamzah Alhejaili, Abdulghani Alharbi   +1 more
doaj   +1 more source

Exploring Advanced Soliton Solutions for the Stochastic Nonlinear System With Temporal Fractionality: Multiplicative Noise Intensity, Modulation Instability, and Chaotic Nature

Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.
This study investigates the stochastic fractional new coupled Konno–Oono equation with external forced multiplicative noise, focusing on the chaotic nature, the influence of multiplicative noise intensity, and the fractionality parameter on exact soliton solutions. The proposed model is used to describe the complex phenomena in the magnetic field.
Md. Mamunur Roshid, Ramy M. Hafez, Mahtab Uddin, Yakup Yildirim, Golam Mostafa, Zuo Da-Wei   +5 more
wiley   +1 more source

Abundant novel stochastic fractional solitary wave solutions of a new extended (3+1)-dimensional Kadomtsev–Petviashvili equation

Alexandria Engineering Journal
The (3+1)-dimensional Kadomtsev–Petviashvili equation arises in various physical contexts, including fluid mechanics, plasma physics, and nonlinear optics. Exact solutions play a vital role in understanding the physical behavior of a system.
Amjad E. Hamza, Khidir Shaib Mohamed, Alaa Mustafa, Khaled Aldwoah, Mohammed Hassan, Hicham Saber   +5 more
doaj   +1 more source

The analysis of the traveling wave solutions of the Hirota-Ramani equation via the modified Kudryashov method

AIMS Mathematics
In this paper, the modified Kudryashov method is utilized to construct the exact traveling solutions to the Hirota­-Ramani equation. The Hirota-Ramani equation holds significant importance as a fundamental model in the examination of nonlinear and integrable systems.
Aslı Alkan, Mehmet Kayalar, Hasan Bulut
openaire   +2 more sources

Dynamics of Computational Solitons: Modulation Instability, Bifurcation, Chaotic Nature With Different Chaos‐Detecting Tools, and Influence of Multiplicative Noise Intensity

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This study presents the dynamic analysis of stochastic fractional unstable nonlinear Schrödinger equation (SFuNLSE), focusing on the analysis of bifurcation, chaotic nature, return map, recurrence plots, strange attractor, basin attractor, power spectrum, chaotic nature and also finds the exact optical soliton solution with multiplicative noise ...
Md. Mamunur Roshid, Mohamed Abdalla, M. S. Osman, Smritijit Sen   +3 more
wiley   +1 more source

Optical soliton solutions for time-fractional Ginzburg–Landau equation by a modified sub-equation method

, 2023
In the present work, we employed a novel modification of the Sardar sub-equation approach, leading to the successful derivation of several exact solutions for the time-fractional Ginzburg–Landau equation with Kerr law nonlinearity.
Nehad Ali Shah, Muhammad Amin Sadiq Murad, Hajar Farhan Ismael, Sayed M. Eldin, Faraidun Kadir Hamasalh   +4 more
core   +1 more source

The plethora of explicit solutions of the fractional KS equation through liquid–gas bubbles mix under the thermodynamic conditions via Atangana–Baleanu derivative operator

Advances in Difference Equations, 2020
Novel explicit wave solutions are constructed for the Kudryashov–Sinelshchikov (KS) equation through liquid–gas bubbles mix under the thermodynamic conditions.
Chen Yue, Mostafa M. A. Khater, Raghda A. M. Attia, Dianchen Lu   +3 more
doaj   +1 more source