Venakides, Stephanos The zero dispersion limit of the Korteweg-de Vries equation for initial potentials with non-trivial reflection coefficient. (English) Zbl 0571.35095 Commun. Pure Appl. Math. 38, 125-155 (1985). See the preview in Zbl 0544.35081. Cited in 46 Documents MSC: 35Q99 Partial differential equations of mathematical physics and other areas of application 35R30 Inverse problems for PDEs 35P25 Scattering theory for PDEs Keywords:zero dispersion limit; Korteweg-de Vries equation; non-trivial reflection coefficient; inverse scattering method; distribution limit; initial value problem Citations:Zbl 0544.35081 PDF BibTeX XML Cite \textit{S. Venakides}, Commun. Pure Appl. Math. 38, 125--155 (1985; Zbl 0571.35095) Full Text: DOI OpenURL References: [1] Buslaev, Vestnik Leningrad Univ. 17 pp 56– (1962) [2] Cohen, Comm. P. D. E. 7 pp 883– (1982) [3] Deift, Comm. Pure Appl. Math. 32 pp 121– (1979) [4] Old and New Approaches to the Inverse Scattering Problem, Studies in Math. Physics, Princeton Series in Physics, (, , eds.), 1976. · Zbl 0343.47006 [5] Integral Equations, John Wiley & Sons, New York, 1973. [6] Khruslov, Math. USSR Sb. 28 pp 229– (1976) [7] Kay, J. Appl. Phys. 27 pp 1503– (1956) [8] Lax, Proc. Natl. Acad. Sci. U.S.A. 76 pp 3602– [9] and , The small dispersion limit of the Korteweg-De Vries equation, Courant Math. Comput. Lab. N. Y. U., 1982. [10] Lax, Comm. Pure Appl. Math. 36 pp 253– (1983) This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.