Surfaces and curves corresponding to the solutions generated from periodic .seed. of NLS equation

Authors
Zhang, Ling He, Jing Song Yin, Cheng Li, Yi Shen
Citation
Zhang, Ling et al., Surfaces and curves corresponding to the solutions generated from periodic .seed. of NLS equation, Acta mathematica Sinica. English series (Print) , 28(8), 2012, pp. 1713-1726
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
28
Issue
8
Year of publication
2012
Pages
1713 - 1726
Database
ACNP
SICI code
Abstract
The solutions q [n] generated from a periodic .seed. q = cei(as+bt) of the nonlinear Schrödinger (NLS) by n-fold Darboux transformation is represented by determinant. Furthermore, the s-periodic solution and t-periodic solution are given explicitly by using q [1]. The curves and surfaces (F 1, F 2, F 3) associated with q [n] are given by means of Sym formula. Meanwhile, we show periodic and asymptotic properties of these curves