Results 31 to 40 of about 10,987,878 (146)

Soliton Solution of the Peyrard–Bishop–Dauxois Model of DNA Dynamics with M-Truncated and β-Fractional Derivatives Using Kudryashov’s R Function Method

Fractal and Fractional, 2022
In this paper, the Peyrard–Bishop–Dauxois model of DNA dynamics is discussed along with the fractional effects of the M-truncated derivative and β-derivative. The Kudryashov’s R method was applied to the model in order to obtain a solitary wave solution.
Xiaoming Wang, Ghazala Akram, Maasoomah Sadaf, Hajra Mariyam, Muhammad Abbas   +4 more
doaj   +1 more source

Optical solitons with Kudryashov’s sextic power-law nonlinearity

, 2022
Objective – The main objective of this paper is to investigate analytic soliton solutions of a nonlinear Schrödinger equation (NLSE), including Kudryashov’s sextic power-law nonlinearity by introducing different approaches of two efficient analytical ...
Bayram, Mustafa, Seçer, Aydın, Özışık, Müslüm, Çınar, Melih, Ozisik, Müslüm   +4 more
core   +1 more source

The finite-volume method in computational rheology [PDF]

, 2012
The finite volume method (FVM) is widely used in traditional computational fluid dynamics (CFD), and many commercial CFD codes are based on this technique which is typically less demanding in computational resources than finite element methods (FEM ...
Pinho, F.T., Afonso, A.M., Oliveira, P.J., Oliveira, Monica, Alves, M.A.   +4 more
core   +4 more sources

Exploration of New Optical Solitons in Magneto-Optical Waveguide with Coupled System of Nonlinear Biswas–Milovic Equation via Kudryashov’s Law Using Extended F-Expansion Method

Mathematics, 2023
Optical soliton solutions in a magneto-optical waveguide and other exact solutions are investigated for the coupled system of the nonlinear Biswas–Milovic equation with Kudryashov’s law using the extended F-expansion method.
Wafaa B. Rabie, Hamdy M. Ahmed, Walid Hamdy   +2 more
doaj   +1 more source

Analytical and numerical study for the generalized q-deformed sinh-Gordon equation

Nonlinear Engineering, 2023
In this article, we study the generalized qq-deformed sinh-Gordon equation analytically using the new general form of Kudryashov’s approach and numerically using the finite difference method.
Ali Khalid K.
doaj   +1 more source

Lie-Bäcklund symmetries, analytical solutions and conservation laws to the more general (2 + 1)-dimensional Boussinesq equation

Results in Physics, 2021
The propagation of shallow water waves with small amplitudes as they propagate in a water channel of constant depth at a uniform speed is described by general Boussinesq equation.
Tukur A. Sulaiman, Abdullahi Yusuf, Fairouz Tchier, Mustafa Inc, F.M.O. Tawfiq, F. Bousbahi   +5 more
doaj   +1 more source

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

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

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