Geodesic
A hierarchy of the nonlocal nonlinear Schrödinger equation with self-consistent sources and dynamics
Teoretičeskaâ i matematičeskaâ fizika, Tome 219 (2024) no. 3, pp. 462-473 Cet article a éte moissonné depuis la source Math-Net.Ru

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A hierarchy of the nonlocal nonlinear Schrödinger equation with self-consistent sources is introduced. The physically significant nonlinear equation is associated with the AKNS spectral problem. In the nonlocal case, the squared eigenfunction of the $L$ operator leads to some changes in the term of the source that affect the motion of solitons. The soliton solutions of the nonlocal nonlinear Schrödinger equation with self-consistent sources are presented using the inverse scattering transform. The dynamics of the solitons are illustrated, which differ from those of the nonlocal equation without a source.
Keywords: self-consistent source, inverse scattering transform, nonlocal nonlinear Schrödinger equation, dynamics. 
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     title = {A hierarchy of the nonlocal nonlinear {Schr\"odinger} equation with self-consistent sources and dynamics},
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Qi Li; Qiu-yuan Duan. A hierarchy of the nonlocal nonlinear Schrödinger equation with self-consistent sources and dynamics. Teoretičeskaâ i matematičeskaâ fizika, Tome 219 (2024) no. 3, pp. 462-473. http://geodesic.mathdoc.fr/item/TMF_2024_219_3_a3/

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