Results 51 to 60 of about 11,580,339 (146)

Analytical and Numerical Soliton Solutions of the Shynaray II‐A Equation Using the G′G,1G$$ \left(\frac{G^{\prime }}{G},\frac{1}{G}\right) $$‐Expansion Method and Regularization‐Based Neural Networks

Mathematical Methods in the Applied Sciences, Volume 49, Issue 9, Page 9814-9831, June 2026.
ABSTRACT Nonlinear differential equations play a fundamental role in modeling complex physical phenomena across solid‐state physics, hydrodynamics, plasma physics, nonlinear optics, and biological systems. This study focuses on the Shynaray II‐A equation, a relatively less‐explored parametric nonlinear partial differential equation that describes ...
Aamir Farooq, H. W. A. Riaz, Sadique Rehman, M. Mamun Miah, Wen Xiu Ma   +4 more
wiley   +1 more source

Optical solitons for the concatenation model with Kurdryashov�s approaches

, 2023
This paper implements two of Kudryashov’s approaches to extract optical soliton solutions to the concatenation model that is a conjunction of the nonlinear Schrödinger’s equation, Lakshmanan–Porsezian–Daniel model, and the Sasa– Satsuma equation.
Kumar, Sachin, S Moshokoa, S Malik, Malik, Sandeep, A Kukkar, Alghamdi, Abdulah A., A Biswas, Khan, Salam, Y Yildirim, A Alghamdi, Biswas, Anjan, Yıldırım, Yakup, Moshokoa, Seithuti P., Kukkar, Akshat, S Kumar, S Khan   +15 more
core   +1 more source

Soliton waves with the (3+1)-dimensional kadomtsev–petviashvili–boussinesq equation in water wave dynamics [PDF]

, 2023
: We examined the (3+1)-dimensional Kadomtsev–Petviashvili–Boussinesq (KP-B) equation, which arises not only in fluid dynamics, superfluids, physics, and plasma physics but also in the construction of connections between the hydrodynamic and optical ...
Bayram, Mustafa, Seçer, Aydın, ÖZIŞIK, Müslüm, Özışık, Müslüm   +3 more
core   +1 more source

Postural control in humans: a study using transcutaneous spinal cord stimulation

Experimental Physiology, Volume 111, Issue 4, Page 2163-2175, 1 April 2026.
Abstract The aim of the study was to investigate the spinal mechanisms involved in regulating postural balance in humans. Participants stood in a normal stance, with their spinal postural networks either non‐invasively activated or not stimulated by electrical stimulation.
Natalia Shamantseva, Ivan Sakun, Tatiana Klishkovskaia, Andrey Aksenov, Vsevolod Lyakhovetskii, Tatiana Moshonkina   +5 more
wiley   +1 more source

Kudryashov Expansion Method Applied to Fisher Mathematical Model

Advances in Mathematical Physics, Volume 2026, Issue 1, 2026.
We obtain new computational soliton solutions characterized by topological, rational, exponential, trigonometric, and hyperbolic functions for the Fisher equation. Using a good strategy, the Kudryashov expansion method is used to find different dynamical wave structures of soliton solutions within the scope of evolutionary dynamical structures of ...
Elif Deniz Öztürk, Ercan Çelik, Sıdıka Şule Şener Kiliç, Kang-Jia Wang   +3 more
wiley   +1 more source

Highly dispersive optical solitons in fiber bragg gratings with kerr law of nonlinear refractive index [PDF]

, 2022
: This paper obtains highly dispersive optical solitons in fiber Bragg gratings with the Kerr law of a nonlinear refractive index. The generalized Kudryashov’s approach as well as its newer version makes this retrieval possible.
Zayed, Elsayed M. E., Biswas, Anjan, Moldovanu, Simona, Alngar, Mohamed E. M., Yıldırım, Yakup, Shohib, Reham M. A., Moraru, Luminita, Iticescu, Catalina, Khan, Salam   +8 more
core  

Dynamical behavior of perturbed Gerdjikov–Ivanov equation through different techniques

Boundary Value Problems, 2023
The objective of this work is to investigate the perturbed Gerdjikov–Ivanov (GI) equation along spatio-temporal dispersion which explains the dynamics of soliton dispersion and evolution of propagation distance in optical fibers, photonic crystal fibers (
Hamood Ur Rehman, Ifrah Iqbal, M. Mirzazadeh, Salma Haque, Nabil Mlaiki, Wasfi Shatanawi   +5 more
doaj   +1 more source

On the solutions and conserved vectors for the two-dimensional second extended Calogero-Bogoyavlenskii-Schiff equation

Results in Physics, 2021
This paper studies the second extended Calogero-Bogoyavlenskii-Schiff (eCBS) equation in (2+1)–dimensions, which was proposed in the literature a short time ago.
Chaudry Masood Khalique, Anila Mehmood
doaj   +1 more source

Optical Soliton Solutions and Modulation Instability of the Higher‐Order Complex Cubic‐Quintic Ginzburg–Landau Equation

Advances in Mathematical Physics, Volume 2026, Issue 1, 2026.
The propagation of ultrashort optical pulses in nonlinear dissipative media is investigated through a generalized higher‐order cubic–quintic complex Ginzburg–Landau equation (HG CQ‐CGLE) incorporating third‐order dispersion (TOD), fourth‐order dispersion (FOD), self‐steepening (SS), and intrapulse Raman scattering (IRS) effects.
Alfred Dang A Mekoung, Nicodème Djiedeu, Jean Pierre Nguenang, Antonio Scarfone   +3 more
wiley   +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