Results 111 to 120 of about 18,365 (215)

Exact solutions of stochastic Burgers–Korteweg de Vries type equation with variable coefficients

Partial Differential Equations in Applied Mathematics
We will present exact solutions for three variations of the stochastic Korteweg de Vries–Burgers (KdV–Burgers) equation featuring variable coefficients.
Kolade Adjibi, Allan Martinez, Miguel Mascorro, Carlos Montes, Tamer Oraby, Rita Sandoval, Erwin Suazo   +6 more
doaj   +1 more source

Whitham equations and phase shifts for the Korteweg-de Vries equation. [PDF]

Proc Math Phys Eng Sci, 2020
Ablowitz MJ, Cole JT, Rumanov I.
europepmc   +1 more source

Korteweg-de Vries Equation in Bounded Domains

Boletim da Sociedade Paranaense de Matemática, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +4 more sources

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

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  

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

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

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

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

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