Results 71 to 80 of about 4,854,822 (190)

Integration of the Loaded Negative Order Nonlinear Schrodinger Equation in the Class of Periodic Functions

Известия Иркутского государственного университета: Серия "Математика"
In this paper, we consider the loaded negative order nonlinear Schrodinger equation (NSE) in the class of periodic functions. It is shown that the loaded negative order nonlinear Schrodinger equation can be integrated by the inverse spectral problem ...
M. M. Khasanov, I. D. Rakhimov, D. B. Azimov   +2 more
doaj   +1 more source

Numerical stability for nonlinear evolution equations

Computers & Mathematics with Applications, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Petra Csomós, István Faragó, Imre Fekete   +2 more
openaire   +3 more sources

The Duffing Equation: Nonlinear Oscillators and their Behaviour

, 2011
The Duffing Equation: Nonlinear Oscillators and their Behaviour brings together the results of a wealth of disseminated research literature on the Duffing equation, a key engineering model with a vast number of applications in science and engineering ...
Brennan, Michael J. [UNESP], Kovacic, Ivana, Brennan M., Brennan, Michael J.   +3 more
core   +1 more source

New applications of the two variable (G′/G, 1/G)-expansion method for closed form traveling wave solutions of integro-differential equations

Journal of Ocean Engineering and Science, 2019
Most fundamental themes in mathematical physics and modern engineering are investigated by the closed form traveling wave solutions of nonlinear evolution equations.
M. Mamun Miah, H.M. Shahadat Ali, M. Ali Akbar, Aly R. Seadawy   +3 more
doaj   +1 more source

Integral solutions of fractional evolution equations with nondense domain

Electronic Journal of Differential Equations, 2017
In this article, we study the existence of integral solutions for two classes of fractional order evolution equations with nondensely defined linear operators.
Haibo Gu, Yong Zhou, Bashir Ahmad, Ahmed Alsaedi   +3 more
doaj  

The chaotic effects in a nonlinear QCD evolution equation

Nuclear Physics B, 2016
The corrections of gluon fusion to the DGLAP and BFKL equations are discussed in a united partonic framework. The resulting nonlinear evolution equations are the well-known GLR–MQ–ZRS equation and a new evolution equation.
Wei Zhu, Zhenqi Shen, Jianhong Ruan
doaj   +1 more source

Solitary wave solutions of the Vakhnenko–Parkes equation

Nonlinear Analysis, 2012
In this paper, two solitary wave solutions are obtained for the Vakhnenko–Parkes equation with power law nonlinearity by the ansatz method. Both topological as well as non-topological solitary wave solutions are obtained.
Fayequa Majid, Houria Triki, Tasawar Hayat, Omar M. Aldossary, Anjan Biswas   +4 more
doaj  

Solitary wave solutions of two KdV-type equations

Open Physics, 2018
The present paper investigates the solitary wave solutions of the nonlinear evolution equations with power nonlinearties. The study has been carried out for two examples of KdV-type equations, namely, the nonlinear dispersive equation and the generalised
Al-Ghafri Khalil Salim
doaj   +1 more source

Bäcklund Transformations between the KdV Equation and a New Nonlinear Evolution Equation

, 2017
We first give a Bäcklund transformation from the KdV equation to a new nonlinear evolution equation. We then derive two Bäcklund transformations with two pseudopotentials, one of which is from the KdV equation to the new equation and the other from the ...
Xifang Cao
core   +1 more source

Multi-Wave and Rational Solutions for Nonlinear Evolution Equations

, 2010
Nonlinear evolution equations always admit multi-soliton and rational solutions. The Burgers equation is used as an example, and the exp-function method is used to eluciadte the solution ...
Aslan, İsmail
core   +1 more source