Results 101 to 110 of about 127,369,342 (196)

Soliton solutions of Wu-Zhang system by generalized Kudryashov method

, 2018
In this paper, generalized Kudryashov method (GKM) is used to find some exact solutions of Wu-Zhang system. Firstly, we get dark soliton solutions of this system by using GKM. Then, we plot graphics of some solutions of this system.
ÇELİK, Ercan, Tuluce Demiray, Seyma, Ercan Celik, Seyma Tuluce Demiray, Hasan Bulut, BULUT, HASAN   +5 more
core   +1 more source

The generalized Kudryashov method to obtain exact traveling wave solutions of the PHI-four equation and the Fisher equation

, 2017
In recent years, searching exact traveling wave solutions to nonlinear evolution equations (NLEEs) has become a remarkable topic of research. In this article, we obtain exact traveling wave solutions of two significant NLEEs, namely, the PHI-four ...
Md Samsuzzoha, Forhad Mahmud, M. Ali Akbar   +2 more
core   +1 more source

Lie Symmetry Analysis of Kudryashov-Sinelshchikov Equation

, 2011
The Lie symmetry method is performed for the fifth-order nonlinear evolution Kudryashov-Sinelshchikov equation. We will find ones and two-dimensional optimal systems of Lie subalgebras.
Vahid Shirvani-Sh, Mehdi Nadjafikhah
core   +1 more source

Moving force identification based on modified preconditioned conjugate gradient method [PDF]

, 2018
This paper develops a modified preconditioned conjugate gradient (M-PCG) method for moving force identification (MFI) by improving the conjugate gradient (CG) and preconditioned conjugate gradient (PCG) methods with a modified Gram-Schmidt algorithm. The
Zhen Chen, Chen, Zhen, Nguyen, Andy, Andy Nguyen, Chan, Tommy H. T., Tommy H.T. Chan   +5 more
core   +1 more source

Exact solutions of the Kudryashov-Sinelshchikov equation by modified exp-function method [PDF]

International Mathematical Forum, 2013
Yinghui He, Shaolin Li, Yao Long
openaire   +1 more source

New Analytical Soliton Molecule Solutions of the Conformable Time-Fractional Sharma-Tasso-Olver-Burgers Equation Using Modified Kudryashov Method

In this study, novel analytical soliton molecule solutions for the conformable time-fractional Sharma-Tasso-Olver-Burgers (STOB) equation have been obtained using the modified Kudryashov method for the first time.
Muammer Ayata, Fatih Maraşlı
core   +1 more source

Exact optical soliton solutions and interaction dynamics in fractional nonlinear systems

Frontiers in Applied Mathematics and Statistics
This paper aims to provide a rigorous analytical investigation of multisoliton dynamics within a conformable concatenated nonlinear framework that unifies the nonlinear Schrödinger, Sasa Satsuma, and Lakshmanan Porsezian Daniel equations through the ...
Saleh M. Alzahrani, Chokri Chniti, Dalal Marzouq AlMutairi   +2 more
doaj   +1 more source

Investigation of the complex dynamical structure of bifurcation and dark soliton solutions to fractional generalized double sinh-Gordon equation

Partial Differential Equations in Applied Mathematics
In the current research work, the classical wave equation is combined with a nonlinear sinh source term in the sinh-Gordon equation. It has been used in several scientific domains such as differential geometry theory, integrable quantum field theory ...
Ayesha Naseem, Rashida Hussain
doaj   +1 more source

The exact solutions of nonlinear partial differantial equations using Kudryashov method and homogeneous balance method

, 2019
Bu tez çalışmasında, Kudryashov metot, Homojen Denge metodu ve bu metotlar arasındaki ilişkiler incelenmiştir. Fizik bilim alanı ve mühendislik uygulamalarında kullanılan lineer olmayan kısmi türevli Fisher denklemi, Benjamin-Bona-Mahony (BBM) denklemi ...
Türkmen, Çiğdem
core   +1 more source

Dynamical behaviors of solitons for NLSE with Kudryashov’s sextic power-law of nonlinear refractive index using improved modified extended tanh-function method

Ain Shams Engineering Journal
The higher order nonlinear Schrödinger equation (NLSE) describes ultrashort pulse propagation in optical fibres. In this paper, we discuss analytically the non-linear schrödinger equation with higher order dispersion terms up to sixth order and sextic power law of nonlinearity with the help of the improved modified extended tanh-function scheme.
Islam Samir, Hamdy M. Ahmed, Adel Darwish, Hisham H. Hussein   +3 more
openaire   +2 more sources