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The Burgers equation and the Korteweg-de Vries equation with quadratic nonlinearity
Burgers equation KdV equation diffeomorphism group BottVirasoro group Euler equation
2011/9/15
Abstract: We study generalized variants of the Burgers equation and the KdV equation on the circle. The main goal of the paper is to show that both extensions can be recast as geodesic equations on a ...
Well-posedness of a Class of Non-homogeneous Boundary Value Problems of the Korteweg-de Vries Equation on a Finite Domain
Class of Non-homogeneous Boundary Value Problems Korteweg-de Vries Equation Finite Domain
2011/1/18
In this paper, we study a class of initial and boundary value problems proposed by Colin and Ghidalia for the Korteweg-de Vries equation posed on a bounded domain (0, L).We show that the initial-value...