The initial-value problem for the forced Korteweg-de Vries equation
نویسندگان
چکیده
منابع مشابه
Initial-Boundary Value Problems for the Korteweg-de Vries Equation
Exact and approximate solutions of the initial-boundary value problem for the Korteweg-de Vries equation on the semi-infinite line are found. These solutions are found for both constant and time-dependent boundary values. The form of the solution is found to depend markedly on the specific boundary and initial value. In particular, multiple solutions and nonsteady solutions are possible. The an...
متن کاملThe Initial-boundary Value Problem for the Korteweg-de Vries Equation
We prove local well-posedness of the initial-boundary value problem for the Korteweg-de Vries equation on right half-line, left half-line, and line segment, in the low regularity setting. This is accomplished by introducing an analytic family of boundary forcing operators.
متن کاملAn initial-boundary value problem for the Korteweg-de Vries equation on the negative quarter-plane
In this paper, we consider an initial-boundary value problem for the Kortewegde Vries equation on the negative quarter-plane. The normalized Korteweg-de Vries equation considered is given by uτ + uux + uxxx = 0, x < 0, τ > 0, where x and τ represent dimensionless distance and time respectively. In particular, we consider the case when the initial and boundary conditions are given by u(x, 0) = u...
متن کاملWell-posed Ness of the Initial Value Problem for the Korteweg-de Vries Equation
The KdV equation, which was first derived as a model for unidirectional propagation of nonlinear dispersive long waves [21], has been considered in different contexts, namely in its relation with the inverse scattering method, in plasma physics, and in algebraic geometry (see [24], and references therein). Our purpose is to study local and global well-posedness of the IVP (1.1) in classical Sob...
متن کاملOn the Korteweg-de Vries equation: frequencies and initial value problem
Unspecified Posted at the Zurich Open Repository and Archive, University of Zurich ZORA URL: http://doi.org/10.5167/uzh-22229 Originally published at: Bättig, D; Kappeler, T; Mityagin, B (1997). On the Korteweg-de Vries equation: frequencies and initial value problem. Pacific Journal of Mathematics, 181(1):1-55. pacific journal of mathematics Vol. 181, No. 1, 1997 ON THE KORTEWEG-DE VRIES EQUAT...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Proceedings of the Royal Society of Edinburgh: Section A Mathematics
سال: 1996
ISSN: 0308-2105,1473-7124
DOI: 10.1017/s0308210500022915