Journal
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
Volume 514, Issue 1, Pages -Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jmaa.2022.126251
Keywords
KdV equation; Shock problem; Inverse scattering transform; Solitons
Categories
Funding
- Austrian Science Fund FWF [P31651]
- National Academy of Sciences of Ukraine NASU [0122U111111]
- Austrian Science Fund (FWF) [P31651] Funding Source: Austrian Science Fund (FWF)
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We show how the inverse scattering transform can be used as a convenient tool to derive the long-time asymptotics of the KdV shock problem in the soliton region. In particular, we improve the results previously obtained via the nonlinear steepest decent approach both with respect to the decay of the initial conditions as well as the region where they are valid.
We show how the inverse scattering transform can be used as a convenient tool to derive the long-time asymptotics of the Korteweg-de Vries (KdV) shock problem in the soliton region. In particular, we improve the results previously obtained via the nonlinear steepest decent approach both with respect to the decay of the initial conditions as well as the region where they are valid. (C) 2022 Elsevier Inc. All rights reserved.
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