Conservation Laws for the Derivative Nonlinear Schrödinger Equation with Non-vanishing Boundary Conditions
CHEN Xiang-Jun, HOU Li-Jie, LAM Wa Kun
Department of Physics, Jinan University, Guangzhou 510632
Conservation Laws for the Derivative Nonlinear Schrödinger Equation with Non-vanishing Boundary Conditions
CHEN Xiang-Jun;HOU Li-Jie;LAM Wa Kun
Department of Physics, Jinan University, Guangzhou 510632
关键词 :
05.45.Yv ,
52.35.Bj ,
42.81.Dp
Abstract : Conservation laws for the derivative nonlinear Schrödinger equation with non-vanishing boundary conditions are derived, based on the recently developed inverse scattering transform using the affine parameter technique.
Key words :
05.45.Yv
52.35.Bj
42.81.Dp
出版日期: 2005-04-01
:
05.45.Yv
(Solitons)
52.35.Bj
(Magnetohydrodynamic waves (e.g., Alfven waves))
42.81.Dp
(Propagation, scattering, and losses; solitons)
引用本文:
CHEN Xiang-Jun;HOU Li-Jie;LAM Wa Kun. Conservation Laws for the Derivative Nonlinear Schrödinger Equation with Non-vanishing Boundary Conditions[J]. 中国物理快报, 2005, 22(4): 830-832.
CHEN Xiang-Jun, HOU Li-Jie, LAM Wa Kun. Conservation Laws for the Derivative Nonlinear Schrödinger Equation with Non-vanishing Boundary Conditions. Chin. Phys. Lett., 2005, 22(4): 830-832.
链接本文:
https://cpl.iphy.ac.cn/CN/
或
https://cpl.iphy.ac.cn/CN/Y2005/V22/I4/830
[1]
LIU Ling-Hong;YAN Jia-Ren;TANG Zheng-Hua. Influence of Spectral Filtering and Nonlinear Gain on an Optical Soliton [J]. 中国物理快报, 2007, 24(1): 123-126.
[2]
HU Heng-Chun;ZHU Hai-Dong. New Doubly Periodic Waves of the (2+1)-Dimensional Double Sine-Gordon Equation [J]. 中国物理快报, 2007, 24(1): 1-4.
[3]
CHENG Yong-Shan;GONG Rong-Zhou;LI Hong. Motion of a Bose--Einstein Condensate Bright Soliton Incident on a Step-Like Potential [J]. 中国物理快报, 2007, 24(1): 35-38.
[4]
WANG Chun-Xia;XU Xing-Sheng;LI Fang;DU Wei;XIONG Gui-Guang;LIU Yu-Liang;CHEN Hong-Da. Light-Propagation Characteristics of Photonic Crystal Waveguide Based on SOI Materials at Different Polarized States [J]. 中国物理快报, 2006, 23(9): 2472-2475.
[5]
ZHANG Da-Jun. Grammian Solutions to a Non-Isospectral Kadomtsev--Petviashvili Equation [J]. 中国物理快报, 2006, 23(9): 2349-2351.
[6]
HUO Liang;YU Rong-Jin;ZHANG Bing;CHEN Ming-Yang;LI Bing-Xin. Design Guideline of Hollow-Core Fibres with Cobweb Cladding Structure [J]. 中国物理快报, 2006, 23(8): 2121-2124.
[7]
WEN Zhen-Ying;ZHAO Hong;WANG Shun-Jin;ZHANG Xiu-Ming. Effect of Nonlinearity on Scattering Dynamics of Solitary Waves [J]. 中国物理快报, 2006, 23(8): 2034-2037.
[8]
DUAN Wen-Shan; CHEN Jian-Hong; YANG Hong-Juan;SHI Yu-Ren; WANG Hong-Yan. Nonlinear Wave in a Disc-Shaped Bose--Einstein Condensate [J]. 中国物理快报, 2006, 23(8): 2000-2003.
[9]
LIU Jian-Guo;XUE Li-Fang;KAI Gui-Yun;LIU Yan-Ge;ZHANG Wei-Gang;LI Yan;WANG Zhi;ZHANG Chun-Shu;DONG Xiao-Yi. Mode Exciting Properties of Photonic Crystal Fibres with the Optical Field Incident from a Single Mode Fibre [J]. 中国物理快报, 2006, 23(8): 2125-2128.
[10]
LIU Jian-Guo;LI Ye-Zhou;WEI Guang-Mei. Auto-Bäcklund Transformation and Soliton-Type Solutions of the Generalized Variable-Coefficient Kadomtsev--Petviashvili Equation [J]. 中国物理快报, 2006, 23(7): 1670-1673.
[11]
DENG Shu-Fang. Exact Solutions for a Nonisospectral and Variable-Coefficient Kadomtsev--Petviashvili Equation [J]. 中国物理快报, 2006, 23(7): 1662-1665.
[12]
AO Sheng-Mei;YAN Jia-Ren. Effect of Higher-Order Terms on Nonlinear Schrödinger Dark Solitons in Optical Fibres [J]. 中国物理快报, 2006, 23(10): 2774-2777.
[13]
LOU Sen-Yue;LI Yi-Shen;. Exact Solutions of (2+1)-Dimensional Euler Equation Found by Weak Darboux Transformation [J]. 中国物理快报, 2006, 23(10): 2633-2636.
[14]
HUANG Ling. Rational Solutions in a Coupled Burgers System [J]. 中国物理快报, 2006, 23(1): 4-6.
[15]
ZHANG Jie-Fang;YANG Qin. Soliton Solutions in Bose--Einstein Condensates with Time-Dependent Atomic Scattering Length in an Expulsive Parabolic Potential [J]. 中国物理快报, 2005, 22(8): 1855-1857.