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Binary Darboux transformation of vector nonlocal reverse-time integrable NLS equations

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  • Ma, Wen-Xiu

Abstract

The aim of this paper is to study vector nonlocal reverse-time NLS (nonlinear Schrödinger) equations and present a binary Darboux transformation by utilizing two sets of eigenfunctions and adjoint eigenfunctions. A product of N single binary Darboux transformations is explored for the resultant binary Darboux transformation. A class of soliton solutions is generated by an application starting from the zero seed potential.

Suggested Citation

  • Ma, Wen-Xiu, 2024. "Binary Darboux transformation of vector nonlocal reverse-time integrable NLS equations," Chaos, Solitons & Fractals, Elsevier, vol. 180(C).
    • Handle: RePEc:eee:chsofr:v:180:y:2024:i:c:s0960077924000900
    DOI: 10.1016/j.chaos.2024.114539
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    References listed on IDEAS

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    1. Ma, Wen-Xiu, 2021. "Binary Darboux transformation for general matrix mKdV equations and reduced counterparts," Chaos, Solitons & Fractals, Elsevier, vol. 146(C).
    2. Wang, Meng & Tian, Bo & Zhou, Tian-Yu, 2021. "Darboux transformation, generalized Darboux transformation and vector breathers for a matrix Lakshmanan-Porsezian-Daniel equation in a Heisenberg ferromagnetic spin chain," Chaos, Solitons & Fractals, Elsevier, vol. 152(C).
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    Cited by:

    1. Rao, Jiguang & Mihalache, Dumitru & Zhou, Fang & He, Jingsong & Chen, Sheng-An, 2024. "Dark and antidark solitons on continuous and doubly periodic backgrounds in the space-shifted nonlocal nonlinear Schrödinger equation," Chaos, Solitons & Fractals, Elsevier, vol. 182(C).
    2. Cui, Xiao-Qi & Wen, Xiao-Yong & Li, Zai-Dong, 2024. "Magnetization reversal phenomenon of higher-order lump and mixed interaction structures on periodic background in the (2+1)-dimensional Heisenberg ferromagnet spin equation," Chaos, Solitons & Fractals, Elsevier, vol. 182(C).

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