Results 91 to 100 of about 62,135,588 (169)

On The Korteweg-de Vries-kuramoto-sivashinsky Equation

, 2015
Considered herein is the Korteweg-de Vries equation with a Kuramoto- Sivashinsky dissipative term appended. This evolution equation, which arises as a model for a number of interesting physical phenomena, has been extensively investigated in a recent ...
Scialom M., Bona J.L., Iorio R.J., Biagioni H.A.   +3 more
core  

Compact schemes for Korteweg-de Vries equation

, 2017
This paper proposes one family of compact schemes for Korteweg-de Vries equation. In the deterministic case, the schemes are convergent with fourth-order accuracy both in space and in time. Moreover, the schemes are stable.
Yan-Qin Liu, Xiu-Ling Yin, Jing-Jing Zhang, Cheng-Jian Zhang   +3 more
core   +1 more source

Exploration traveling solitary solutions to the mKdV-Zakharov-Kuznetsov equation with advection noise

Boundary Value Problems
In this paper, we consider the stochastic modified Korteweg-de Vries-Zakharov-Kuznetsov (SmKdV-ZK) equation, which is driven in the Itô sense by advection noise. We show that by solving certain deterministic counterparts of the modified Korteweg-de Vries-
Sofian T. Obeidat, Doaa Rizk, Wael W. Mohammed   +2 more
doaj   +1 more source

Qualitative Analysis and Novel Exact Soliton Solutions to the Compound Korteweg–De Vries–Burgers Equation

Fractal and Fractional
This paper deals with the exact wave results of the (1+1)-dimensional nonlinear compound Korteweg–De Vries and Burgers (KdVB) equation with a truncated M-fractional derivative.
Abdulrahman Alomair, Abdulaziz Saud Al Naim, Mustafa Bayram   +2 more
doaj   +1 more source

Well-posedness for some perturbations of the KdV equation with low regularity data

Electronic Journal of Differential Equations, 2008
We study some well-posedness issues of the initial value problem associated with the equation $$ u_t+u_{xxx}+eta Lu+uu_x=0, quad x in mathbb{R}, ; tgeq 0, $$ where $eta>0$, $widehat{Lu}(xi)=-Phi(xi)hat{u}(xi)$ and $Phi in mathbb{R}$ is bounded ...
Mahendra Panthee, Xavier Carvajal
doaj  

Generation transcritical flow influenced by dissipation over a hole

Yanbu Journal of Engineering and Science
Transcritical flow of a stratified fluid over an obstacle for negative forcing amplitude (hole) that generation upstream and downstream, connected by an unsteady solution is examined.
Mohammed Daher Albalwi
doaj   +1 more source

Solitons from the Korteweg-de Vries Equation

, 2016
this demonstration requires that the student knows the concepts of solitons and Korteweg-de Vries (KdV) equationsThis demonstration shows a simulation of a solitary wave (soliton)using Korteweg-de Vries (KdV) equationComponente Curricular::Educação ...
Zeleny, Enrique
core   +2 more sources

Ill-posedness for periodic nonlinear dispersive equations

Electronic Journal of Differential Equations, 2010
In this article, we establish new results about the ill-posedness of the Cauchy problem for the modified Korteweg-de Vries and the defocusing modified Korteweg-de Vries equations, in the periodic case. The lack of local well-posedness is in the sense
Jaime Angulo Pava, Sevdzhan Hakkaev
doaj  

Solitary waves and shock waves for double-layered fluid flow with dispersion triplet: Zaremaoghaddam and Gear–Grimshaw models (KdV equation)

Beni-Suef University Journal of Basic and Applied Sciences
Background The Zaremaoghaddam model studies internal waves, fluid dynamics, and nonlinear wave equations. In shallow water, internal solitons, or stratified fluids, the procedure may involve modifying or applying nonlinear wave models like Korteweg–de ...
Lakhveer Kaur, Omer Mohammed Khodayer Al-Dulaimi, Farag Mahel Mohammed, Anwar Ja’afar Mohamad Jawad, Mohammad Abdelkawy, Oswaldo González-Gaxiola, Ahmed H. Arnous, Anjan Biswas   +7 more
doaj   +1 more source

Multiphase wavetrains, singular wave interactions and the emergence of the Korteweg-de Vries equation. [PDF]

Proc Math Phys Eng Sci, 2016
Ratliff DJ, Bridges TJ.
europepmc   +1 more source