Results 51 to 60 of about 10,987,878 (146)

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

open access: yesAdvances 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   +4 more
wiley   +1 more source

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

open access: yesAdvances 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   +4 more
wiley   +1 more source

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

open access: yesAdvances 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   +5 more
wiley   +1 more source

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

open access: yesAdvances 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   +5 more
wiley   +1 more source

The letter as a component of correspondence in M. Kudryashov’s short story Storm of Letters

open access: yes, 2016
Many researchers have noted the dialogic structure of the epistolary text. This article analyzes the linguistic realization of constitutive and regulative rules of dialogue-correspondence in Mari writer M.
Lyudmila A Andreyeva
core   +1 more source

Dynamics of Breather and Peakon Excitations in the Nonlinear Fractional Generalized Reaction Duffing and Fisher Models via Generalized Bernoulli Equation Method

open access: yesInternational Journal of Differential Equations, Volume 2026, Issue 1, 2026.
This study examines precise analytical traveling wave solutions of two significant nonlinear space‐time fractional partial differential equations, the fractional generalized reaction Duffing model and the fractional Fisher equation. The fractional derivatives are defined using Jumarie’s modified Riemann–Liouville operator, which facilitates the ...
Sirasrete Phoosree   +4 more
wiley   +1 more source

Investigation of solitons in magneto-optic waveguides with Kudryashov’s law nonlinear refractive index for coupled system of generalized nonlinear Schrödinger’s equations using modified extended mapping method [PDF]

open access: yes
In this work, we investigate the optical solitons and other waves through magneto-optic waveguides with Kudryashov’s law of nonlinear refractive index in the presence of chromatic dispersion and Hamiltonian-type perturbation factors using the modified ...
Rabie, Wafaa B.   +13 more
core   +1 more source

THE EFFECT OF USING FOUR SQUARE METHOD IN WRITING NOTICE TEXT AT THE GRADE VIII OF SMP NEGERI 11 PADANGSIDIMPUAN [PDF]

open access: yes, 2019
The study was conducted at the Grade VIII of SMP Negeri 11 Padangsidimpuan. The aims of this research was to find out if there was a significant Effect of Using four square method on Students’ Writing notice t text at the Grade VIII of SMP Negeri 11 ...
Siagian, Abdul Rahman
core   +1 more source

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

open access: yesInternational 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   +3 more
wiley   +1 more source

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

open access: yesJournal 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   +5 more
wiley   +1 more source

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