Results 21 to 30 of about 458,840 (351)

Bifurcations and the Exact Solutions of the Time-Space Fractional Complex Ginzburg-Landau Equation with Parabolic Law Nonlinearity

Fractal and Fractional, 2023
This paper studies the bifurcations of the exact solutions for the time–space fractional complex Ginzburg–Landau equation with parabolic law nonlinearity.
Wenjing Zhu, Zijie Ling, Yonghui Xia, Min Gao   +3 more
doaj   +1 more source

Periodic Solutions of Symmetric Wave Equations

Journal of Differential Equations, 1998
The paper concerns the existence of solutions of the following nonautonomous problem \[ \begin{cases} u_{tt}-u_{xx}=f(x,t,u), &(x,t)\in Q=(0, \pi)\times (0, 2\pi),\\ u(0,t)=0=u(\pi,t), &t\in \mathbb{R},\\ u(x,t+2\pi)=u(x,t), &(x,t)\in Q=(0, \pi)\times \mathbb{R},\end{cases} \tag{W} \] where \(f(x,t,\xi)\in C([0,\pi]\times \mathbb{R}^2,\mathbb{R})\) is \
Ding, Yanheng, Li, Shujie, Willem, Michel   +2 more
openaire   +3 more sources

Periodic solution and wave front solution for delay equation

Mathematical and Computer Modelling, 2007
In the first part of the paper, the authors consider the delay differential equation \[ {dx\over dt}= f(x(t), x(t-\tau))\tag{\(*\)} \] with \(x\in\mathbb{R}^n\) and \(0 a> 0 ...
Guojian Lin, Rong Yuan
openaire   +1 more source

N Wave and Periodic Wave Solutions for Burgers Equations

International Journal of Analysis and Applications, 2020
This article concerns the initial boundary value problem for the non linear dissipative Burgers equation. Our general purpose is to describe the asymptotic behavior of the solution in the Cauchy problem with a small parameter ε for this equation and to discuss in particular the cases of the N wave shock and periodic wave shock.
Zahia Nouri, Saida Bendaas, Houssem Eddine Kadem   +2 more
openaire   +4 more sources

Periodic and Solitary Wave Solutions to the Fornberg‐Whitham Equation [PDF]

Mathematical Problems in Engineering, 2009
New travelling wave solutions to the Fornberg‐Whitham equation ut − uxxt + ux + uux = uuxxx + 3uxuxx are investigated. They are characterized by two parameters. The expresssions for the periodic and solitary wave solutions are obtained.
Zhou, Jiangbo, Tian, Lixin
openaire   +3 more sources

Solitary-wave solutions of the Degasperis-Procesi equation by means of the homotopy analysis method [PDF]

, 2010
The homotopy analysis method is applied to the Degasperis-Procesi equation in order to find analytic approximations to the known exact solitary-wave solutions for the solitary peakon wave and the family of solitary smooth-hump waves.
Abbasbandy, S., Parkes, E.J.
core   +1 more source

Response Solutions for Wave Equations with Variable Wave Speed and Periodic Forcing [PDF]

Journal of Dynamics and Differential Equations, 2021
arXiv admin note: text overlap with arXiv:1706 ...
Chen, Bochao, Gao, Yixian, Li, Yong, Yang, Xue   +3 more
openaire   +3 more sources

Solitary wave solutions and other solutions for Gilson–Pickering equation by using the modified extended mapping method

Results in Physics, 2022
In this paper, the modified extended mapping method is applied to obtain solitary wave solutions and other solutions for the Gilson–Pickering equation which describes the wave propagation in plasma physics.
Islam Samir, Niveen Badra, Hamdy M. Ahmed, Ahmed H. Arnous, Ahmed S. Ghanem   +4 more
doaj   +1 more source

Periodic traveling wave solutions of periodic integrodifference systems

Discrete and Continuous Dynamical Systems - B, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lin, Guo, Pan, Shuxia
openaire   +2 more sources

Some Further Results on Traveling Wave Solutions for the ZK-BBM() Equations

Journal of Applied Mathematics, 2013
We investigate the traveling wave solutions for the ZK-BBM() equations by using bifurcation method of dynamical systems. Firstly, for ZK-BBM(2, 2) equation, we obtain peakon wave, periodic peakon wave, and smooth periodic wave solutions and point out ...
Shaoyong Li, Zhengrong Liu
doaj   +1 more source