Integrability aspects of solitons’ coupled equation in multi-wavelength system

Li Qi-Liang; Zhu Hai-Dong; Tang Xiang-Hong; Li Cheng-Jia; Wang Xiao-Jun; Lin Li-Bin

doi:10.7498/aps.53.1623

Abstract
We have studied the integralility aspects of solitons' coupled equation in a multi-wavelength system with Lax pair, by using Hirota bilinearization, we obtain one-soliton and two-solitons solutions.

Keywords:
Lax pair /

Hirota bilinearization /

integrability aspects
Authors and contacts
Li Qi-Liang,

Zhu Hai-Dong,

Tang Xiang-Hong,

Li Cheng-Jia,

Wang Xiao-Jun,

Lin Li-Bin

1.
杭州电子工业学院通信工程学院，杭州 310037;四川大学物理科学与技术学院，成都 610064
References

Cited By

[1]	Zhang Da-Jun. Bilinearization-reduction approach to integrable systems. Acta Physica Sinica, 2023, 72(10): 100203. doi: 10.7498/aps.72.20230063
[2]	Gong Rui-Zhi, Wang Deng-Shan. Whitham modulation theory of defocusing nonlinear Schrödinger equation and the classification and evolutions of solutions with initial discontinuity. Acta Physica Sinica, 2023, 72(10): 100503. doi: 10.7498/aps.72.20230172
[3]	Zhang Da-Jun. Discrete integrable systems: Multidimensional consistency. Acta Physica Sinica, 2020, 69(1): 010202. doi: 10.7498/aps.69.20191647
[4]	Liu Ping, Xu Heng-Rui, Yang Jian-Rong. The Boussinesq equation: Lax pair, Bäcklund transformation, symmetry group transformation and consistent Riccati expansion solvability. Acta Physica Sinica, 2020, 69(1): 010203. doi: 10.7498/aps.69.20191316
[5]	Wei Han-Yu, Xia Tie-Cheng. Nonlinear integrable couplings of super Kaup-Newell hierarchy and its super Hamiltonian structures. Acta Physica Sinica, 2013, 62(12): 120202. doi: 10.7498/aps.62.120202
[6]	Li Ai-Bing, Zhang Li-Feng, Xiang Jie. Influence of external forcing on the predictability of Lorenz model. Acta Physica Sinica, 2012, 61(11): 119202. doi: 10.7498/aps.61.119202
[7]	Wu Zhi-Qiang, Zhang Zhen-Hua, Hao Ying. Constrained bifurcations of the system with double-loop bilinear hysteresis. Acta Physica Sinica, 2011, 60(12): 120503. doi: 10.7498/aps.60.120503
[8]	Yin Jiu-Li, Fan Yu-Qin, Zhang Juan, Tian Li-Xin. Some new integrable nonlinear dispersive equations and their solitary wave solutions. Acta Physica Sinica, 2011, 60(8): 080201. doi: 10.7498/aps.60.080201
[9]	Yin Jiu-Li, Tian Li-Xin. New exotic solitary waves in one type of nonlinear dispersive equations. Acta Physica Sinica, 2009, 58(6): 3632-3636. doi: 10.7498/aps.58.3632
[10]	Xiong Chuan-Hua. The Dressing symmetry and Affine integrability of type IIB superstring in AdS5○×S5 background. Acta Physica Sinica, 2005, 54(1): 47-52. doi: 10.7498/aps.54.47
[11]	Tian Xiao-Dong, Yue Rui-Hong. Integrability of the generalized multi-component Fermi quantum derivative nonlin ear Schrdinger model. Acta Physica Sinica, 2005, 54(4): 1485-1489. doi: 10.7498/aps.54.1485
[12]	Deng Mao-Lin, Hong Ming-Chao, Zhu Wei-Qiu, Wang Yuan-Mei. Stationary solution of motion of active Brownian particle. Acta Physica Sinica, 2004, 53(7): 2029-2034. doi: 10.7498/aps.53.2029
[13]	Cai Hao, Chen Shi-Rong, Huang Nian-Ning. General procedure to formulate Hamiltonian theory of the completely integrable n onlinear equations and its application to the sine-Gordon equation. Acta Physica Sinica, 2003, 52(9): 2206-2212. doi: 10.7498/aps.52.2206
[14]	Zhou Zhen-Jiang, Li Zhi-Bin. A Darboux transformation and new exact solutions for Broer-Kaup system. Acta Physica Sinica, 2003, 52(2): 262-266. doi: 10.7498/aps.52.262
[15]	YAN ZHEN-YA, ZHANG HONG-QING. NEW LAX INTEGRABLE HIERARCHY OF EVOLUTION EQUATIONS AND ITS INFINITE-DIMENSIONAL BI-HAMILTONIAN STRUCTURE. Acta Physica Sinica, 2001, 50(7): 1232-1236. doi: 10.7498/aps.50.1232
[16]	LOU SEN-YUE. OBTAIN HIGH DIMENSIONAL INTEGRABLE MODELS BY MEANS OF MIURA TYPE NONINVERTIBLE T RANSFORMATION. Acta Physica Sinica, 2000, 49(9): 1657-1662. doi: 10.7498/aps.49.1657
[17]	GUAN XI-WEN, TONG DIAN-MIN, ZHOU HUAN-QIANG. THE LAX PAIR AND ITS BOUNDARY K MATRIX-FOR XYZ SPIN OPEN CHAIN. Acta Physica Sinica, 1997, 46(4): 796-801. doi: 10.7498/aps.46.796
[18]	XU ZONG-RONG, GAO YAN-LIN. . Acta Physica Sinica, 1995, 44(1): 24-28. doi: 10.7498/aps.44.24
[19]	LOU SEN-YUE, YU JUN, WENG JIAN-PIN, QIAN XIAN-MIN. SYMMETRY STRUCTURE OF 2+1 DIMENSIONAL BILINEAR SAWADA-KOTERA EQUATION. Acta Physica Sinica, 1994, 43(7): 1050-1055. doi: 10.7498/aps.43.1050
[20]	. . Acta Physica Sinica, 1975, 24(6): 438-447. doi: 10.7498/aps.24.438

Catalog

Vol. 53, Issue 6 - 2004-03-20

Metrics

Abstract views: 7949
PDF Downloads: 731
Cited By: 0

姓名
邮箱
手机号码
标题
留言内容
验证码

Search

Article

留言板

Integrability aspects of solitons’ coupled equation in multi-wavelength system

Abstract

Authors and contacts

References

Cited By

Catalog

Metrics

Authors

Referees

About Journal

About

Search

Article

留言板

Integrability aspects of solitons’ coupled equation in multi-wavelength system

Abstract

Authors and contacts

References

Cited By

Catalog

Metrics

Publishing process

Authors

Referees

About Journal

About