Journal
APPLIED MATHEMATICS LETTERS
Volume 125, Issue -, Pages -Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.aml.2021.107770
Keywords
Nonlocal Gerdjikov-Ivanov equation; Eigenvalue problem; Riemann-Hilbert problem; N-soliton solution
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Funding
- National Natural Science Foundation of China [11975143, 12105161, 61602188]
- Shandong Provincial Natural Science Foundation [ZR2019QD018]
- Scientific Research Foundation of Shandong University of Science and Technology for Recruited Talents [2017RCJJ068, 2017RCJJ069]
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In this paper, a multi-component nonlocal reverse-time GI equation is derived based on the zero curvature equation through nonlocal group reduction. Soliton solutions of this new equation are obtained using the Riemann-Hilbert problem, with N-soliton solutions under the reflectless case and solutions determined by the Sokhotski-Plemelj formula when the jump is not an identity.
In this paper, based on zero curvature equation, the multi-component nonlocal reverse-time Gerdjikov-Ivanov (GI) equation is derived through nonlocal group reduction of the multi-component GI equation. Then the soliton solutions of this new multi-component nonlocal reverse-time GI equation are given with the aid of the corresponding Riemann-Hilbert problem. Especially, under the reflectless case, the N-soliton solutions of this nonlocal system are gained with a pure algebraic method, conversely, if the jump is not an identity, the solutions can only be determined by the Sokhotski-Plemelj formula. (C) 2021 Elsevier Ltd. All rights reserved.
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