Results 51 to 60 of about 11,583,195 (198)

Dynamical Behavior of Soliton Solutions and Bifurcation Analysis for the Time‐Fractional Akbota Equation With Beta Derivative

Engineering Reports, Volume 8, Issue 10, October 2026.
Exact soliton solutions of the time‐fractional Akbota equation with the beta derivative are obtained using three analytical methods. Bifurcation, stability, and phase‐plane analyses reveal stable and unstable equilibrium states, demonstrating controllable nonlinear wave dynamics with promising applications in optical fiber communication, nonlinear ...
S. M. Rayhanul Islam
wiley   +1 more source

Uncertainty Quantification of Analytical Solutions for the Nonlinear Space and Time Fractional Order ϕ4$$ {\phi}^4 $$ Equation Under Fuzziness

Engineering Reports, Volume 8, Issue 7, July 2026.
Analytical fuzzy soliton solutions of a modified space–time fractional ϕ4$$ {\phi}^4 $$ model are derived using EHFM, capturing memory effects and uncertainty. Results reveal diverse wave structures and show how fractional order and fuzziness significantly influence soliton amplitude, localization, and propagation, with heightened sensitivity near the ...
Mohsin Khalid, Neha Andaleeb Khalid, Baboucarr Ceesay, Zafar Iqbal   +3 more
wiley   +1 more source

Exact Solutions of Nonlinear Partial Differential Equations Using the Extended Kudryashov Method and Some Properties

, 2023
In this paper, we consider how to find new exact solutions for nonlinear partial differential equations using the extended Kudryashov method. This method mainly uses the Riccati equation and the Bernoulli equation where there are some underdetermined ...
Jian Zhou, Shiyin Zhao, Yufeng Zhang, Long Ju   +3 more
core   +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

Finding soliton solutions of some partial differential equations by generalized Kudryashov method [PDF]

, 2022
Fen Bilimleri Enstitüsü, Matematik Ana Bilim DalıBu tez çalışması beş farklı kısımdan oluşmaktadır. Birinci kısımda genelleştirilmiş Kudryashov metodunun oluşumu ve metodun uygulanması ile ilgili bazı bilgiler verilmiştir.
Ceren, Emre
core  

Exact Solutions to Some Nonlinear Time-Fractional Evolution Equations Using the Generalized Kudryashov Method in Mathematical Physics [PDF]

, 2023
In this study, we utilize the potent generalized Kudryashov method to address the intricate obstacles presented by fractional differential equations in the field of mathematical physics.
Ekici, Mustafa, Mustafa Ekici
core   +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

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

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  

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