Results 111 to 120 of about 18,045 (194)

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

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

Power Series Solution for Korteweg-de Vries Equation

Trends in Computational and Applied Mathematics
We apply the similarity method to the Korteweg-de Vries equation, where we obtain a new equation, in terms of similarity variable. We use the power series method, getting the similarity solution, which is exemplified graphically by particular cases.
F. S. Costa, J. C. A. Soares, G. L. Araujo, M. V. S. Sousa   +3 more
doaj   +1 more source

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

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  

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

Periodic Stochastic Korteweg-de Vries Equation

, 2009
23 pages.
openaire   +2 more sources

Power series solution for the modified KdV equation

Electronic Journal of Differential Equations, 2008
We use the method developed by Christ [3] to prove local well-posedness of a modified Korteweg de Vries equation in $mathcal{F}L^{s,p}$ spaces.
Tu Nguyen
doaj  

Effects of Nonextensive Electrons on Dust-Ion Acoustic Waves in a Collisional Dusty Plasma with Negative Ions. [PDF]

Entropy (Basel), 2023
Liu Z.
europepmc   +1 more source