Results 61 to 70 of about 1,122 (176)

Dynamical Optical Structure Solutions of the Time‐Fractional Chen‐Lee‐Liu Equation

Advances in Mathematical Physics, Volume 2026, Issue 1, 2026.
In this article, we utilize the conformable fractional (CF) derivative to investigate the analytically innovative soliton solutions for the time‐fractional nonlinear perturbed Chen‐Lee‐Liu (CLL) equation in optical fibers. An essential governing equation in nonlinear optics, the perturbed CLL model describes the propagation of ultrashort pulses in ...
Shah Muhammad, Abdul Saboor, Muhammad Shakeel, Hameed Gul Ahmadzai, Ivan Giorgio   +4 more
wiley   +1 more source

Diverse Soliton Structures of Induced Curves in the Integrable Coupled Kuralay Equation

Advances in Mathematical Physics, Volume 2026, Issue 1, 2026.
This study explores the integrable coupled Kuralay equation, which is widely utilized to study the motion of induced curves. In fields such as ferromagnetic materials, nonlinear optics, and optical fibers, soliton solutions of the Kuralay equation have emerged as significant recent developments.
Shah Muhammad, Muhammad Shakeel, Muhammad Abuzar, Tereda Seifu Neda, Ivan Giorgio   +4 more
wiley   +1 more source

Dynamical Soliton Solutions of (2 + 1)-Dimensional Paraxial Wave and (4 + 1)-Dimensional Fokas Wave Equations With Truncated M-Fractional Derivative Using an Efficient Technique

Journal of Mathematics
The main aim of this paper is to use the modified generalized Kudryashov technique to accurately represent the traveling wave solutions for 2+1-dimensional paraxial and 4+1-dimensional Fokas wave equations with truncated M-fractional derivative. Symbolic
Hasan Bulut, Ulviye Demirbilek, Ercan Çelik   +2 more
doaj   +1 more source

An analytical and numerical approach for the $(1+1)$-dimensional nonlinear Kolmogorov–Petrovskii–Piskunov equation [PDF]

Iranian Journal of Numerical Analysis and Optimization
The main focus of this work is to develop and implement an efficient lo-cal discontinuous Galerkin scheme for acquiring the numerical solution of the (1 + 1)-dimensional nonlinear Kolmogorov–Petrovskii–Piskunov equa-tion. The proposed framework employs a
A. Chand, J. Mohapatra
doaj   +1 more source

A novel exploration for traveling wave solutions to the integrable equation of wave packet envelope

Partial Differential Equations in Applied Mathematics, 2022
In this paper, with the aid of symbolic computation, different types of traveling wave solutions to a model involving an integrable equation for wave packet envelope have been presented.
Melike Kaplan, Arzu Akbulut
doaj   +1 more source

Propagation Pulses in Optical Fiber Modeled by the Kudryashov Equation

Journal of Physics: Conference Series, 2022
Abstract Kudryashov equation describes the propagation pulses in an optical fiber. By using the trial equation method and complete discrimination system for the polynomial method, the classification of all envelope patterns of the Kudryashov equation is obtained, including solitary wave solutions, double periodic solutions, triangular ...
Chan Li, Chunyan Wang
openaire   +1 more source

Dynamical Behavior and Chaotic Nature of M‐Fractional Paraxial Wave Equation With Three Analytical Methods

Advances in Mathematical Physics, Volume 2026, Issue 1, 2026.
This research work provides a comprehensive investigation of the M‐fractional paraxial wave equation (M‐fPWE) in describing complex optical phenomena in telecommunication systems and nonlinear media, focusing on the dynamical analysis of optical soliton solutions, the impact of M‐fractional parameters, stability, multistability, and the chaotic nature ...
Md. Mamunur Roshid, Mahtab Uddin, Mohammad Safi Ullah, Golam Mostafa, Ashek Ahmed, Shikha Binwal   +5 more
wiley   +1 more source

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

Application of Kudryashov and functional variable methods to the strain wave equation in microstructured solids

Nonlinear Engineering, 2017
The aim of this paper is to obtain the exact solutions of the strain wave equation applied for illustrating wave propagation in microstructured solids.
Ayati Z., Hosseini K., Mirzazadeh M.
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