Results 71 to 80 of about 3,841 (206)

Optical soliton solutions of time-fractional coupled nonlinear Schrödinger system via Kudryashov-based methods

, 2023
© 2022 Elsevier GmbHPurpose: In this study, we investigated the time-fractional coupled nonlinear Schrödinger (TF-CNLS) system in conformable fractional sense. TF-CNLS system models the circularly-polarized waves in the optic branch of physics frequently.
Bayram, Mustafa, ÖNDER, İsmail, Aydin Secer, Mustafa Bayram, Ismail Onder, SEÇER, Aydın   +5 more
core   +1 more source

Numerical Simulations of Coupled Solitary Waves With Spatially Modulated Non‐Linearity

Advances in Mathematical Physics, Volume 2026, Issue 1, 2026.
This study investigates the dynamics of two coupled solitary waves propagating in media characterised by spatially modulated non‐linearity and variable dispersion. By employing numerical simulations of a system of coupled non‐linear Schrödinger equations (NLSEs) with varying coefficients, we analyse how inhomogeneous physical properties influence ...
Ngaka John Nchejane, Mabatho Thakedi, Shikha Binwal   +2 more
wiley   +1 more source

Conservation laws and exact solutions of Kudryashov-Sinelshchikov equation and Benney-Luke equation [PDF]

, 2017
MSc (Applied Mathematics), North-West University, Mafikeng Campus, 2017In this dissertation we study two nonlinear partial differential equations namely; the Kudryashov-Sinclshchikov equation and the Benney-Luke equation.
Mbusi, Sivenathi Oscar
core  

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

SOLITARY WAVE SOLUTIONS FOR SPACE-TIME FRACTIONAL COUPLED INTEGRABLE DISPERSIONLESS SYSTEM VIA GENERALIZED KUDRYASHOV METHOD [PDF]

, 2021
In this article, space-time fractional coupled integrable dispersionless system is considered, and we use fractional derivative in the sense of modified Riemann-Liouville. The fractional system has reduced to an ordinary differential system by fractional
Ahmad, Hijaz, Gaber, Ahmed
core   +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

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 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

The modified Kudryashov method for solving some fractional-order nonlinear equations [PDF]

, 2014
In this paper, the modified Kudryashov method is proposed to solve fractional differential equations, and Jumarie's modified Riemann-Liouville derivative is used to convert nonlinear partial fractional differential equation to nonlinear ordinary ...
Ege, Serife Muge, Serife Ege, Emine Misirli, Misirli, Emine   +3 more
core   +1 more source