Notes on Canonical Forms of Integrable Vector Nonlinear Schr?dinger Systems
Kui Chen, Da-Jun Zhang**
Department of Mathematics, Shanghai University, Shanghai 200444
Abstract :We present canonical forms of integrable vector nonlinear Schrödinger systems. Mathematically, it is enough to focus on these canonical forms.
收稿日期: 2017-06-01
出版日期: 2017-09-27
[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
[1]
. [J]. 中国物理快报, 2023, 40(2): 20201-.
[2]
. [J]. 中国物理快报, 2022, 39(10): 100201-.
[3]
. [J]. 中国物理快报, 2022, 39(9): 94201-094201.
[4]
. [J]. 中国物理快报, 2021, 38(9): 90201-.
[5]
. [J]. 中国物理快报, 2021, 38(8): 80201-.
[6]
. [J]. 中国物理快报, 2021, 38(8): 80202-.
[7]
. [J]. 中国物理快报, 2021, 38(6): 60501-.
[8]
. [J]. 中国物理快报, 2020, 37(10): 100501-.
[9]
. [J]. 中国物理快报, 2020, 37(5): 50502-.
[10]
. [J]. 中国物理快报, 2020, 37(4): 40201-.
[11]
. [J]. 中国物理快报, 2020, 37(4): 40501-.
[12]
. [J]. 中国物理快报, 2020, 37(3): 30501-.
[13]
. [J]. 中国物理快报, 2019, 36(12): 120501-.
[14]
. [J]. 中国物理快报, 2019, 36(11): 110201-.
[15]
. [J]. 中国物理快报, 2019, 36(3): 30201-.