The Korteweg-de Vries equation on an interval
نویسندگان
چکیده
منابع مشابه
An exact solution to the Korteweg-de Vries-Burgers equation
In this letter, applying a series of coordinate transformations, we obtain a new class of solutions of the Korteweg–de Vries–Burgers equation, which arises in the theory of ferroelectricity. © 2005 Elsevier Ltd. All rights reserved.
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We make two observations concerning the generalised Korteweg de Vries equation ut + uxxx = μ(|u|u)x. Firstly we give a scaling argument that shows, roughly speaking, that any quantitative scattering result for L-critical equation (p = 5) automatically implies an analogous scattering result for the L-critical nonlinear Schrödinger equation iut+uxx = μ|u|4u. Secondly, in the defocusing case μ > 0...
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ژورنال
عنوان ژورنال: Journal of Mathematical Physics
سال: 2019
ISSN: 0022-2488,1089-7658
DOI: 10.1063/1.5080366