Results 31 to 40 of about 284 (125)

Some new exact solitary wave solutions of the van der Waals model arising in nature

Results in Physics, 2018
This work proposes two well-known methods, namely, Exponential rational function method (ERFM) and Generalized Kudryashov method (GKM) to seek new exact solutions of the van der Waals normal form for the fluidized granular matter, linked with natural ...
Sadaf Bibi, Naveed Ahmed, Umar Khan, Syed Tauseef Mohyud-Din   +3 more
doaj   +1 more source

Novel Solutions of Perturbed Boussinesq Equation

Journal of Mathematical Sciences and Modelling, 2022
In this article, we have worked on the perturbed Boussinesq equation. We have applied the generalized Kudryashov method (GKM) and sine-Gordon expansion method (SGEM) to the perturbed Boussinesq equation. So, we have obtained some new soliton solutions of
Şeyma Tülüce Demiray, Uğur Bayrakcı
doaj   +1 more source

Two Analytical Schemes for the Optical Soliton Solution of the (2 + 1) Hirota–Maccari System Observed in Single-Mode Fibers

Universe, 2022
In this scientific research article, the new Kudryashov method and the tanh-coth method, which have not been applied before, are employed to construct analytical and soliton solutions of the (2+1)-dimensional Hirota–Maccari system.
Neslihan Ozdemir, Aydin Secer, Muslum Ozisik, Mustafa Bayram   +3 more
doaj   +1 more source

Oblique closed form solutions of some important fractional evolution equations via the modified Kudryashov method arising in physical problems

Journal of Ocean Engineering and Science, 2018
The paper deals with the obliquely propagating wave solutions of fractional nonlinear evolution equations (NLEEs) arising in science and engineering. The conformable time fractional (2 + 1)-dimensional extended Zakharov-Kuzetsov equation (EZKE), coupled ...
F. Ferdous, M.G. Hafez
doaj   +1 more source

Agent‐Based Computational Modeling of the Stochastic Dynamic Behavior of Actin Filaments Recapitulates the Homeostatic Cortical Array in Plant Epidermal Cells

Cytoskeleton, Volume 83, Issue 6, Page 407-426, June 2026.
ABSTRACT The homeostatic cortical actin array in plant cells plays important roles in fundamental processes, including intracellular transport, secretion, cell expansion, and cytoplasmic streaming. In response to diverse chemical and mechanical signals, the cortical array can remodel within minutes to assume new configurations or altered filament ...
June Hyung Kim, Weiwei Zhang, Anjali Iyer‐Pascuzzi, Christopher J. Staiger, Taeyoon Kim   +4 more
wiley   +1 more source

Exact Solutions and Nonlinear Dynamical Behavior in a Navier‐Stokes‐Type Model for Elastic Cylindrical Vessels: An Analytical and Computational Approach

Engineering Reports, Volume 8, Issue 6, June 2026.
This study investigates a nonlinear Navier‐Stokes‐type model for elastic cylindrical vessels. Exact solutions are derived via the Bäcklund transformation and the ϕ6$$ {\phi}^6 $$‐expansion method, and dynamical behaviors are analyzed using bifurcation and chaos tools, revealing diverse wave structures and parameter‐dependent propagation characteristics.
Sheikh Zain Majid, Fatma Nur Kaya Sağlam, Mohammad Safi Ullah   +2 more
wiley   +1 more source

Diversity of wave structures to the conformable fractional dynamical model

Journal of Ocean Engineering and Science, 2023
This manuscript examines the recently developed conformable three-dimensional Wazwaz–Benjamin–Bona–Mahony (3D-WBBM) equation’s dynamical behavior in terms of its spatial and temporal variables.
U. Younas, J. Ren
doaj   +1 more source

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

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

Abundant stable novel solutions of fractional-order epidemic model along with saturated treatment and disease transmission

Open Physics, 2022
This article proposes and analyzes a fractional-order susceptible, infectious, susceptible (SIS) epidemic model with saturated treatment and disease transmission by employing four recent analytical techniques along with a novel fractional operator.
Khater Mostafa M. A., Lu Dianchen, Salama Samir A.   +2 more
doaj   +1 more source