Double Wronskian Soliton Solution for Mixed AKNS System
HAO Hong-Hai, Lü Li-Li, CHEN Deng-Yuan
Department of Mathematics, Shanghai University, Shanghai 200444
Double Wronskian Soliton Solution for Mixed AKNS System
HAO Hong-Hai;Lü Li-Li;CHEN Deng-Yuan
Department of Mathematics, Shanghai University, Shanghai 200444
关键词 ：
02.30.Ik ,
03.75.Lm
Abstract ： The Lax pair of the mixed Ablowitz--Kap--Newell--Segur (AKNS) system is obtained from compatibility condition. Hirota’s bilinear form is derived by some dependent variable transformation. Moreover, by means of the Wronskian technique, the double Wronskian form of soliton solutions are found. Specially, the two-soliton solution is presented.
Key words ：
02.30.Ik
03.75.Lm
出版日期: 2005-12-01
:
02.30.Ik
(Integrable systems)
03.75.Lm
(Tunneling, Josephson effect, Bose-Einstein condensates in periodic potentials, solitons, vortices, and topological excitations)
引用本文:
HAO Hong-Hai;Lü Li-Li;CHEN Deng-Yuan. Double Wronskian Soliton Solution for Mixed AKNS System[J]. 中国物理快报, 2005, 22(12): 2987-2990.
链接本文:
https://cpl.iphy.ac.cn/CN/
或
https://cpl.iphy.ac.cn/CN/Y2005/V22/I12/2987
[1]
HU Heng-Chun;ZHU Hai-Dong. New Doubly Periodic Waves of the (2+1)-Dimensional Double Sine-Gordon Equation
[2]
DU Guo-Dong;MA Yong-Li. Hyperbolic Bending of Vortex Lines with Finite Number and Length in Rotating Trapped Bose--Einstein Condensates
[3]
CHENG Yong-Shan;GONG Rong-Zhou;LI Hong. Motion of a Bose--Einstein Condensate Bright Soliton Incident on a Step-Like Potential
[4]
ZHANG Da-Jun. Grammian Solutions to a Non-Isospectral Kadomtsev--Petviashvili Equation
[5]
YU Zhao-Xian;LIANG Jiu-Qing;JIAO Zhi-Yong. Quantum Effects of Many Atoms in Spinor Bose--Einstein Condensates
[6]
DENG Shu-Fang. Exact Solutions for a Nonisospectral and Variable-Coefficient Kadomtsev--Petviashvili Equation
[7]
TANG Xiao-Yan;HUANG Fei;;LOU Sen-Yue;. Variable Coefficient KdV Equation and the Analytical Diagnoses of a Dipole Blocking Life Cycle
[8]
GU Huai-Qiang;WANG Zhi-Cheng;JIN Kang;TAN Lei. Bloch Oscillations of Two-Component Bose--Einstein Condensates in Optical Lattices
[9]
LOU Sen-Yue;LI Yi-Shen;. Exact Solutions of (2+1)-Dimensional Euler Equation Found by Weak Darboux Transformation
[10]
HUANG Ling. Rational Solutions in a Coupled Burgers System
[11]
M. Siddiq;M. Hassan. From Bäcklund Transformation to a Linear System of Sine-Gordon Theory in Superspace
[12]
ZHANG Shun-Li;LOU Sen-Yue;QU Chang-Zheng. Functional Variable Separation for Generalized (1+2)-Dimensional Nonlinear Diffusion Equations
[13]
U. Saleem;M. Siddiq;M. Hassan. On Noncommutative Sinh--Gordon Equation
[14]
LUO Xiao-Bing;HAI Wen-Hua. Stabilizations of Two-Dimensional Trapped and Untrapped Matter Waves via a Feshbach Resonance Technique
[15]
WEN Ling-Hua;;LIU Min;;KONG Ling-Bo;;ZHAN Ming-Sheng;. Incomplete Erasure of Which-Way Information Encoded in Atomic Hyperfine States
2005, Vol. 22 
