Results 41 to 50 of about 11,580,339 (146)

Analysis Modulation Instability and Parametric Effect on Soliton Solutions for M-Fractional Landau–Ginzburg–Higgs (LGH) Equation Through Two Analytic Methods

Fractal and Fractional
This manuscript studies the M-fractional Landau–Ginzburg–Higgs (M-fLGH) equation in comprehending superconductivity and drift cyclotron waves in radially inhomogeneous plasmas, especially for coherent ion cyclotron wave propagation, aiming to explore the
Mohamed Abdalla, Md. Mamunur Roshid, Mahtab Uddin, Mohammad Safi Ullah   +3 more
doaj   +1 more source

Optical soliton solutions for a generalized nonlocal nonlinear Schrödinger-type equation with Kudryashov-like refractive index law

Franklin Open
This study explores a perturbed nonlinear optical system governed by Kudryashov’s law with an arbitrary refractive index to derive novel optical soliton solutions.
Entsar El-Shazly, Menas E. Eissa, Amr Elsonbaty, Kottakkaran Sooppy Nisar   +3 more
doaj   +1 more source

Symmetry Solutions and Conserved Quantities of an Extended (1+3)-Dimensional Kadomtsev-Petviashvili- Like Equation [PDF]

, 2021
In this paper, we study an extended (1+3)-dimensional Kadomtsev-Petviashvili-like equation. Lie symmetry reductions of the equation were performed and direct integration technique was adopted. Kudryashov’s approach was utilized to generate a closed- form
Masood Khalique, Chaudry, Davies Adeyemo, Oke   +1 more
core   +1 more source

Quiescent optical solitons with Kudryashov’s generalized quintuple-power law and nonlocal nonlinearity having nonlinear chromatic dispersion with generalized temporal evolution by enhanced direct algebraic method and sub-ODE approach. [PDF]

We derive stationary optical solitons for the case when the nonlinear refractive index of Kudryashov’s quintuple form is coupled with a nonlocal type of self-phase modulation in the presence of nonlinear chromatic dispersion.
Arnous, Ahmed H., Veni, S. Saravana, Zayed, Elsayed M. E., Hussein, Layth, Biswas, Anjan, El-Shater, Mona, Yıldırım, Yakup, Jawad, Anwar Ja’afar Mohamad   +7 more
core   +2 more sources

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

Symmetry Analysis, Exact Solutions and Conservation Laws of a Benjamin–Bona–Mahony–Burgers Equation in 2+1-Dimensions [PDF]

, 2021
The Benjamin–Bona–Mahony equation describes the unidirectional propagation of small-amplitude long waves on the surface of water in a channel. In this paper, we consider a family of generalized Benjamin–Bona–Mahony–Burgers equations depending on three ...
María Bruzón, Rafael de la Rosa, Tamara Garrido-Letrán, Garrido Letrán, Tamara María, Bruzón Gallego, María de los Santos, Rosa Silva, Rafael de la, Tamara M. Garrido-Letrán, María S. Bruzón   +7 more
core   +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

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

Sequel to “cubic‐quartic optical soliton perturbation with complex Ginzburg–Landau equation by the enhanced Kudryashov's method”

IET Optoelectronics, 2022
This paper serves as a sequel to previously reported results on cubic‐quartic solitons with complex Ginzburg–Landau equation. This work is with various forms of power law nonlinearity that structures the self‐phase modulation.
Ahmed H. Arnous, Anjan Biswas, Abdul H. Kara, Daniela Milovic, Yakup Yıldırım, Hashim M. Alshehri   +5 more
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