Characteristic properties of the scattering data for the mKdV equation on the half-line

2003/07/14 by Anne Boutet de Monvel, de Monvel, Anne Boutet, Vladimir Kotlyarov +1
Mathematics · Physics and Astronomy · #35Q53 #37K15 #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Waves and Solitons #Numerical methods for differential equations #math.AP #msc:35Q53 #msc:37K15

paper · pdf · doi:10.48550/arxiv.math/0307191

LaTeX, 31 pages

arxiv created 2003/07/14 · openalex publication_date 2003/07/14 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we describe characteristic properties of the scattering data of the compatible eigenvalue problem for the pair of differential equations related to the modified Korteweg-de Vries (mKdV) equation whose solution is defined in some half-strip (0

Related

• Initial boundary value problem on a half-line for the MKdV equation
• Exact solutions to the modified Korteweg-de Vries equation
• The KdV equation on a half-line
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• Scattering problem for the generalized Korteweg-de Vries equation