Results 181 to 190 of about 481 (193)

New exact solutions of the coupled sine-Gordon equations in nonlinear optics using the modified Kudryashov method

Journal of Modern Optics, 2017
The main aim of this article is studying the coupled sine-Gordon equations in nonlinear optics, which describe the propagation of an optical pulse in fibre waveguide.
K. Hosseini, P. Mayeli, D. Kumar
openaire   +1 more source

Modified Kudryashov method and its applications to the (2+1)-dimensional cubic Klein-Gordon and (3+1)- dimensional Zakharov-Kuznetsov equations

International Journal of Physical Research, 2022
The exact solutions of nonlinear evolution equations (NLEEs) play a vital role to reveal the central mechanism of complex physical phe-nomenon. More precisely, in this paper, we acquired new exact solutions to the (2+1)-dimensional cubic Klein–Gordon (cKG) and (3+1)-dimensional Zakharov–Kuznetsov (ZK) equations by using the modified Kudraysov ...
K. M. Abdul Al Woadud, Md. Jahirul Islam, Aminur Rahman Khan   +2 more
openaire   +1 more source

Solutions of the nonlinear differential equations by use of modified Kudryashov method

2016
Studies based on the non-linear physical problems have become very important in recent years. These problems are solved by using different mathematical approaches. In particular, the soliton solutions, compacton solutions, peakon solutions and other solutions have been found for such physical problems. Using a powerful method that is proposed to obtain
Tandoğan, Yusuf Ali, Pandır, Yusuf, Gurefe, Yusuf   +2 more
openaire   +1 more source

On the analytical solutions of conformable time-fractional extended Zakharov–Kuznetsov equation through ( $$G'/G^{2}$$ G ′ / G 2 )-expansion method and the modified Kudryashov method

SeMA Journal, 2018
The aim of this article is to obtain and study the solutions of conformable time fractional (1+2)-dimensional extended Zakharov–Kuznetsov equation (2D-FZKE) which is modeled to investigate the waves in magnetized plasma. Wave transformation in fractional form is applied to convert the original fractional order nonlinear partial differential equation ...
Muhammad Nasir Ali, M. S. Osman, Syed Muhammad Husnine   +2 more
openaire   +1 more source

Witham-Broer-Kaup Equation Via Symmetry Method and Modified Kudryashov Method

Mathematical Sciences Letters, 2019
openaire   +1 more source

Dynamical behavior of solitons with Kudryashov’s quintuple power-law of refractive index having nonlinear chromatic dispersion using improved modified extended tanh-function method

Optik, 2022
Mohammed F Shehab, Hamdy M Ahmed
exaly  

Solitons and other wave solutions for nonlinear Schrödinger equation with Kudryashov generalized nonlinearity using the improved modified extended tanh-function method

Optical and Quantum Electronics, 2023
Manar S. Ahmed, Afaf A. S. Zaghrout, Hamdy M. Ahmed   +2 more
openaire   +1 more source

Modified Kudryashov Method to Solve Generalized Kuramoto-Sivashinsky Equation

Symmetry, 2018
Adem Kiliçman, Rathinavel Silambarasan   +1 more
exaly  

New Exact Solutions of Fractional Differential Equations by Proposed Tanh and Modified Kudryashov Methods

2018
Santanu Saha Ray, Subhadarshan Sahoo
openaire   +1 more source

New exact solutions of the coupled sine-Gordon equations in nonlinear optics using the modified Kudryashov method

Journal of Modern Optics, 2018
K Hosseini, Dipankar Kumar
exaly