Journal
APPLIED MATHEMATICS LETTERS
Volume 131, Issue -, Pages -Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.aml.2022.108074
Keywords
Matrix spectral problem; Zero curvature equation; Nonlocal integrable equation; Riemann-Hilbert problem; Soliton solution
Categories
Funding
- NSFC [11975145, 11972291, 51771083]
- Ministry of Science and Technology of China [G2021016032L]
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A novel reduced nonlocal integrable mKdV equation of odd order is presented by taking two group reductions of the AKNS matrix spectral problems. Soliton solutions are generated from the corresponding reflectionless Riemann-Hilbert problems based on the distribution of eigenvalues.
A kind of novel reduced nonlocal integrable mKdV equations of odd order is presented by taking two group reductions of the AKNS matrix spectral problems. One reduction is local, replacing the spectral parameter with its negative and the other is nonlocal, replacing the spectral parameter with its negative complex conjugate. Based on distribution of eigenvalues, soliton solutions are generated from the corresponding reflectionless Riemann-Hilbert problems. (c) 2022 Elsevier Ltd. All rights reserved.
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