Bounded multi-soliton solutions and their asymptotic analysis for the reversal-time nonlocal nonlinear Schrödinger equation |
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Authors: | Wei-Jing Tang Zhang-nan Hu Liming Ling |
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Affiliation: | Department of Mathematics, South China University of Technology, Guangzhou, 510641, China |
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Abstract: | In this paper, we construct the Darboux transformation (DT) for the reverse-time integrable nonlocal nonlinear Schrödinger equation by loop group method. Then we utilize the DT to derive soliton solutions with zero seed. We investigate the dynamical properties for those solutions and present a sufficient condition for the non-singularity of multi-soliton solutions. Furthermore, the asymptotic analysis of bounded multi-solutions has also been established by the determinant formula. |
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Keywords: | nonlocal nonlinear Schrödinger equation multi-soliton solution singularity asymptotic analysis |
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