GENERAL |
|
|
|
|
Notes on Canonical Forms of Integrable Vector Nonlinear Schr?dinger Systems |
Kui Chen, Da-Jun Zhang** |
Department of Mathematics, Shanghai University, Shanghai 200444
|
|
Cite this article: |
Kui Chen, Da-Jun Zhang 2017 Chin. Phys. Lett. 34 100202 |
|
|
Abstract We present canonical forms of integrable vector nonlinear Schrödinger systems. Mathematically, it is enough to focus on these canonical forms.
|
|
Received: 01 June 2017
Published: 27 September 2017
|
|
|
|
Fund: Supported by the National Natural Science Foundation of China under Grant No 11371241. |
|
|
[1] | Benney D J and Newell A C 1967 J. Math. Phys. 46 133 | [2] | Zakharov V E 1968 J. Appl. Mech. Tech. Phys. 9 190 (translated from 1968 Zh. Prikl. Mekh. Tekh. Fiz. 9 86) | [3] | Zakharov V E 1972 Sov. Phys. JETP 35 908 (translated from 1972 Zh. Eksp. Teor. Fiz. 62 1745) | [4] | Hasegawa A and Tappert F 1973 Appl. Phys. Lett. 23 142 | [5] | Ablowitz M J, Prinari B and Trubatch A D 2004 Discrete and Continuous Nonlinear Schrödinger Systems (Cambridge: Cambridge University Press) | [6] | Wang D S, Zhang D J and Yang J K 2010 J. Math. Phys. 51 023510 | [7] | Manakov S V 1974 Sov. Phys. JETP. 38 248 (translated from 1973 Zh. Eksp. Toor. Fiz. 65 505) | [8] | Priya N V, Senthilvelan M and Lakshmanan M 2014 Phys. Rev. E 89 062901 | [9] | Li H M, Tian B, Wang D S, Sun W R, Xie X Y and Liu L 2016 J. Mod. Opt. 63 1924 | [10] | Yan Z Y 2016 Appl. Math. Lett. 62 101 | [11] | Tian S F 2017 J. Differ. Eq. 262 506 | [12] | Zakharov V E and Schulman E I 1982 Physica D 4 270 | [13] | Fordy A P and Kulish P P 1983 Commun. Math. Phys. 89 427 | [14] | Ablowitz M J and Musslimani Z H 2013 Phys. Rev. Lett. 110 064105 | [15] | Zhang F Z 2011 Matrix Theory (New York: Springer) | [16] | Khukhunashvili V Z 1989 Theor. Math. Phys. 79 467 | [17] | Geng X G, Liu H and Zhu J Y 2015 Stud. Appl. Math. 135 310 | [18] | Su T, Dai H H and Geng X G 2013 Chin. Phys. Lett. 30 060201 | [19] | Tian S F 2016 Proc. R. Soc. A 472 20160588 | [20] | Vijayajayanthi M, Kanna T and Lakshmanan M 2009 Eur. Phys. J. Spec. Top. 173 57 |
|
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|