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On the Cauchy Problem for the Korteweg-de Vries Equation with Steplike Finite-Gap Initial Data I. Schwartz-Type Perturbations
- Source :
- Nonlinearity 22, 1431-1457 (2009)
- Publication Year :
- 2008
-
Abstract
- We solve the Cauchy problem for the Korteweg-de Vries equation with initial conditions which are steplike Schwartz-type perturbations of finite-gap potentials under the assumption that the respective spectral bands either coincide or are disjoint.<br />Comment: 29 pages
Details
- Database :
- arXiv
- Journal :
- Nonlinearity 22, 1431-1457 (2009)
- Publication Type :
- Report
- Accession number :
- edsarx.0812.4003
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1088/0951-7715/22/6/009