Geodesic
A motion of complex curves in $\mathbb C^3$ and the nonlocal nonlinear Schrödinger equation
Zhong, Shiping 1
1 School of Mathematics and Computer Sciences, Gannan Normal University, Ganzhou 341000, P. R. China
Journal of nonlinear sciences and its applications, Tome 12 (2019) no. 2, p. 75-85.

Voir la notice de l'article provenant de la source International Scientific Research Publications

This paper shows that soliton solutions to the nonlocal nonlinear Schrödinger equation (NNLS) proposed recently by Ablowitz and Musslimani [M. J. Ablowitz, Z. H. Musslimani, Phys. Rev. Lett., $\bf 110$ (2013), 5 pages] describe a motion of three distinct complex curves in $\mathbb C^3$ with initial data being suitably restricted. This gives a geometric interpretation of NNLS.
DOI : 10.22436/jnsa.012.02.02
Classification : 53A04, 35Q55, 35Q60
Keywords: Complex moving curve, geometric interpretation, uniqueness

Zhong, Shiping  1

1 School of Mathematics and Computer Sciences, Gannan Normal University, Ganzhou 341000, P. R. China 
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Zhong, Shiping . A motion of complex curves in  \(\mathbb C^3\) and the nonlocal nonlinear Schrödinger  equation. Journal of nonlinear sciences and its applications, Tome 12 (2019) no. 2, p. 75-85. doi : 10.22436/jnsa.012.02.02. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.012.02.02/

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