Geodesic
Long-time asymptotics for the~nonlocal Kundu--nonlinear-Schr\"{o}dinger equation by the~nonlinear steepest descent method
Teoretičeskaâ i matematičeskaâ fizika, Tome 213 (2022) no. 3, pp. 459-481

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We study the long-time asymptotics of the nonlocal Kundu–nonlinear-Schrödinger equation with a decaying initial value. The long-time asymptotics of the solution follow from the nonlinear steepest descent method proposed by Deift–Zhou and the Riemann–Hilbert method.
Keywords: long-time asymptotics, nonlocal Kundu–nonlinear-Schrödinger equation, nonlinear steepest descent method, Riemann–Hilbert method. 
@article{TMF_2022_213_3_a4,
     author = {Jian Li and Tiecheng Xia and Handong Guo},
     title = {Long-time asymptotics for the~nonlocal {Kundu--nonlinear-Schr\"{o}dinger} equation by the~nonlinear steepest descent method},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {459--481},
     publisher = {mathdoc},
     volume = {213},
     number = {3},
     year = {2022},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2022_213_3_a4/}
}
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Jian Li; Tiecheng Xia; Handong Guo. Long-time asymptotics for the~nonlocal Kundu--nonlinear-Schr\"{o}dinger equation by the~nonlinear steepest descent method. Teoretičeskaâ i matematičeskaâ fizika, Tome 213 (2022) no. 3, pp. 459-481. http://geodesic.mathdoc.fr/item/TMF_2022_213_3_a4/