The Soliton Solutions and Long‐Time Asymptotic Analysis for an Integrable Variable Coefficient Nonlocal Nonlinear Schrödinger Equation

Guiying Chen, Xiangpeng Xin and Feng Zhang

Advances in Mathematical Physics, 2021, vol. 2021, issue 1

Abstract: An integrable variable coefficient nonlocal nonlinear Schrödinger equation (NNLS) is studied; by employing the Hirota’s bilinear method, the bilinear form is obtained, and the N‐soliton solutions are constructed. In addition, some singular solutions and period solutions of the addressed equation with specific coefficients are shown. Finally, under certain conditions, the asymptotic behavior of the two‐soliton solution is analyzed to prove that the collision of the two‐soliton is elastic.

Date: 2021
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https://doi.org/10.1155/2021/5570788

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlamp:v:2021:y:2021:i:1:n:5570788

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