[HTML][HTML] Fractional derivative-based performance analysis to Caudrey–Dodd–Gibbon–Sawada–Kotera equation

A Jhangeer, H Almusawa, RU Rahman - Results in Physics, 2022 - Elsevier
This paper explores the innovative soliton solutions to the fractional Caudrey–Dodd–Gibbon–
Sawada–Kotera (CDGSK) equation with Beta and Atangana–Baleanu (AB) fractional …

Extended auxiliary equation method and its applications to three generalized NLS equations

G Xu - Abstract and Applied Analysis, 2014 - Wiley Online Library
The auxiliary equation method proposed by Sirendaoreji is extended to construct new types
of elliptic function solutions of nonlinear evolution equations. The effectiveness of the …

Structure of solitary wave solutions of the nonlinear complex fractional generalized Zakharov dynamical system

D Lu, AR Seadawy, M Khater - Advances in Difference Equations, 2018 - Springer
The analytical and solitary traveling solutions of the nonlinear complex fractional
generalized Zakharov equations are investigated. The nonlinear complex fractional …

Bifurcation analysis and the travelling wave solutions of the Klein–Gordon–Zakharov equations

Z Zhang, F **a, X Li - Pramana, 2013 - Springer
In this paper, we investigate the bifurcations and dynamic behaviour of travelling wave
solutions of the Klein–Gordon–Zakharov equations given in Shang et al, Comput. Math …

Some exact solutions of generalized Zakharov system

S Tuluce Demiray, H Bulut - Waves in Random and Complex …, 2015 - Taylor & Francis
In this paper, we seek exact solutions of generalized Zakharov system. We use extended
trial equation method to obtain exact solutions of this system. Consequently, we obtain some …

A note on exact travelling wave solutions for the Klein–Gordon–Zakharov equations

ZY Zhang, YH Zhang, XY Gan, DM Yu - Zeitschrift für Naturforschung …, 2012 - degruyter.com
16 In this paper, we investigate the travelling wave solutions for the Klein-Gordon-Zakharov
equations by using the modified trigonometric function series method benefited to the ideas …

Nonlinear complex generalized zakharov dynamical system inconformal sense utilizing new kudryashov method

A Secer, M Bayram, N Ozdemir, I Onder, H Esen… - Physica …, 2024 - iopscience.iop.org
We take into account the nonlinear complex generalized Zakharov dynamical system which
models the spread of the Langmuir waves in ionized plasma, in the conformal sense in this …

Application of bifurcation method to the generalized Zakharov equations

M Song - Abstract and Applied Analysis, 2012 - Wiley Online Library
We use the bifurcation method of dynamical systems to study the traveling wave solutions for
the generalized Zakharov equations. A number of traveling wave solutions are obtained …

Some explicit expressions and interesting bifurcation phenomena for nonlinear waves in generalized Zakharov equations

S Li, R Liu - Abstract and Applied Analysis, 2013 - Wiley Online Library
Using bifurcation method of dynamical systems, we investigate the nonlinear waves for the
generalized Zakharov equations utt-cs 2 uxx= β (| E| 2) xx, i E t+ α E xx-δ 1 u E+ δ 2| E| 2 E+ …

[HTML][HTML] New exact explicit solutions of the generalized Zakharov equation via the first integral method

Y Sun, H Hu, J Zhang - Open Journal of Applied Sciences, 2014 - scirp.org
The generalized Zakharov equation is a coupled equation which is a classic nonlinear
mathematic model in plasma. A series of new exact explicit solutions of the system are …