Journal
APPLIED MATHEMATICS LETTERS
Volume 120, Issue -, Pages -Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.aml.2021.107297
Keywords
Gerdjikov-Ivanov equation; Nonzero boundary condition; Dbar-dressing method; Lax pair; Soliton solution
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Funding
- National Natural Science Foundation of China [11671095, 51879045]
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The Dbar-dressing method is applied to study a Gerdjikov-Ivanov equation with nonzero boundary at infinity. Spatial and time spectral problems associated with the GI equation are derived using an asymptotic expansion method. Soliton solutions of the GI equation are constructed based on the Dbar equation through a special spectral transformation matrix, leading to explicit one- and two-soliton solutions.
We apply the Dbar-dressing method to study a Gerdjikov-Ivanov (GI) equation with nonzero boundary at infinity. A spatial and a time spectral problem associated with GI equation are derived with a asymptotic expansion method. The N-soliton solutions of the GI equation are constructed based the Dbar-equation by choosing a special spectral transformation matrix. Further the explicit one- and two-soliton solutions are obtained. (C) 2021 Elsevier Ltd. All rights reserved.
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