Results 101 to 110 of about 5,295 (178)
Fractal and FractionalThis 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 +2 more
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Traveling waves to a Burgers–Korteweg–de Vries-type equation with higher-order nonlinearities
, 2007 In this paper, first we survey some recent advances in the study of traveling wave solutions to the Burgers–Korteweg–de Vries equation and some comments are given. Then, we study a Burgers–Korteweg–de Vries-type equation with higher-order nonlinearities.
Knobel, Roger, Feng, Zhaosheng
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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
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Generation transcritical flow influenced by dissipation over a hole
Yanbu Journal of Engineering and ScienceTranscritical 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
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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
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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
On the origin of the Korteweg-de Vries equation
, 2011 A. Honorary colloquium "Rudolf Gorenflo. Fluids from a fractional viewpoint". B. Hans Gebelein's turbulence from a stochastic viewpoint, waves of Korteweg and de Vries, cellular diffusion, etc. (A. Festkolloquium ``Rudolf Gorenflo.
de Jager, E.M.
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Beni-Suef University Journal of Basic and Applied SciencesBackground 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 +7 more
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Exact controllability and stabilizability of the Korteweg-de Vries equation
, 1994 Russell, D.L.; Zhang, Bing-Yu. (1994). Exact controllability and stabilizability of the Korteweg-de Vries equation.
Russell, D.L., Zhang, Bing-Yu
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The Korteweg-De Vries Equation: A Case Study of Integrability [PDF]
, 2018 Resumen de elementos clave de la teoría de integrabilidad clásica y aplicación práctica al estudio de la ecuación de Korteweg-De ...
Caso Huerta, Marcos
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