Results 31 to 40 of about 11,580,339 (146)

Highly dispersive optical solitons with cubic law and cubic-quintic-septic law nonlinearities

Results in Physics, 2020
In this paper, the Kudryashov’s method and generalized tanh method (GTM) are employed to retrieve the new distinct optical solitons for highly dispersive NLSE.
Naeem Ullah, Hamood Ur Rehman, M.A. Imran, T. Abdeljawad   +3 more
doaj   +1 more source

Dispersive solitons in magneto-optic waveguides with Kudryashov’s form of self-phase modulation

, 2022
This paper retrieves the coupled system of nonlinear Schrödinger’s equation with Kudryashov’s equation in magneto-optic waveguides. We obtain three types of optical wave patterns with the help of the trial equation approach and the complete discriminant ...
Wang, Ming-Yue, Biswas, Anjan, Yıldırım, Yakup, Alshehri, Hashim M.   +3 more
core   +1 more source

A study of (3+1)-dimensional generalized Korteweg-de Vries- Zakharov-Kuznetsov equation via Lie symmetry approach

Results in Physics, 2020
In this work, we analytically examine a (3+1)-dimensional generalized Korteweg-de Vries-Zakharov-Kuznetsov equation (gKdV-ZKe). Solutions of this equation, including a non-topological soliton, are obtained by Lie symmetry reductions and direct ...
Chaudry Masood Khalique, Oke Davies Adeyemo   +1 more
doaj   +1 more source

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

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

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

Symmetric Fibonacci Function Solutions of some Nonlinear Partial Differential Equations [PDF]

, 2014
A new version of the Kudryashov’s method for solving non-integrable problems in mathematical physics is presented in this paper. New exact solutions of the heat conduction equation and K(m,n) equation with generalized evolution are obtained by using this
PANDIR, YUSUF
core   +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, Aydin Secer, Mustafa Bayram, Muslum Ozisik, Melih Cinar   +8 more
core   +1 more source