Journal
APPLIED MATHEMATICS LETTERS
Volume 132, Issue -, Pages -Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.aml.2022.108106
Keywords
Negative order kdV equation; Soliton solutions; Riemann-Hilbert problem
Categories
Funding
- Natural Science Foundation of China [11971313]
- Shanghai natural science foundation [19ZR1434500]
- People?s Republic of China
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This paper studies the initial value problem for the negative order integrable KdV equation using the Riemann-Hilbert problem method. The solutions of the NKdV equation are constructed based on the asymptotic behavior of the spectral variable at the singularity point λ = & INFIN;. The one-soliton and two-soliton solutions are discussed in detail.
In this paper, we study the initial value problem for the negative order integrable KdV (NKdV) equation by Riemann-Hilbert problem method. The solutions of the NKdV equation are constructed in terms of the solution of a 2 x 2-matric Riemann-Hilbert problem via the asymptotic behavior of the spectral variable at one singularity point, lambda = & INFIN;. And the one-soliton and two-soliton solutions are discussed in detail. (c) 2022 Elsevier Ltd. All rights reserved.
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