Results 61 to 70 of about 11,580,339 (146)

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

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

, 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

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

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]

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., Hamdy M. Ahmed, Hashemi, Mir Sajjad, Niveen M. Badra, Ahmed, Hamdy M., Mostafa Eslami, Badra, Niveen M., Mir Sajjad Hashemi, Mirzazadeh, Mohammad, Wafaa B. Rabie, Mohammad Mirzazadeh, Ahmed, Karim K., Karim K. Ahmed, Eslami, Mostafa   +13 more
core   +1 more source

Analytical Investigation of Trajectory Evolution and Bifurcation Behavior in the Fractional Perturbed Gerdjikov–Ivanov Equation With External Modulation

Complexity, Volume 2026, Issue 1, 2026.
In this work, an efficient Bäcklund‐enhanced unified analytical framework is developed to study the fractional perturbed Gerdjikov–Ivanov (pGI) equation that describes the propagation of nonlinear pulses in dispersive optical media. A fractional formulation is developed with Jumarie’s modified Riemann–Liouville derivative to include memory‐dependent ...
Linda Alzaben, Monia Naghi, Shikha Binwal   +2 more
wiley   +1 more source

Exact Solutions and Conserved Vectors of the Two-Dimensional Generalized Shallow Water Wave Equation

, 2021
In this article, we investigate a two-dimensional generalized shallow water wave equation. Lie symmetries of the equation are computed first and then used to perform symmetry reductions.
Karabo Plaatjie, Chaudry Masood Khalique
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

International 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, Jirasak Saekhow, Jiraporn Sanjun, Weerachai Thadee, Igor Freire   +4 more
wiley   +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