1Department of Electronic Engineering, University of Electronic Science and Technology of China Zhongshan Institute, Zhongshan 528402 2Academic Affairs Division, Zhongshan Polytechnic, Zhongshan 528404
Note on the Lax Pair of a Coupled Hybrid System
LIU Ping1**, FU Pei-Kai2
1Department of Electronic Engineering, University of Electronic Science and Technology of China Zhongshan Institute, Zhongshan 528402 2Academic Affairs Division, Zhongshan Polytechnic, Zhongshan 528404
摘要The hybrid lattice, known as a discrete Korteweg-de Vries (KdV) equation, is found to be a discrete modified Korteweg-de Vries (mKdV) equation. The coupled hybrid lattice, which is pointed out to be a discrete coupled KdV system, is also found to be a discrete form of a coupled mKdV system. New lax pairs for the single and coupled discrete hybrid systems are proposed as a different study from previous ones.
Abstract：The hybrid lattice, known as a discrete Korteweg-de Vries (KdV) equation, is found to be a discrete modified Korteweg-de Vries (mKdV) equation. The coupled hybrid lattice, which is pointed out to be a discrete coupled KdV system, is also found to be a discrete form of a coupled mKdV system. New lax pairs for the single and coupled discrete hybrid systems are proposed as a different study from previous ones.
LIU Ping**;FU Pei-Kai. Note on the Lax Pair of a Coupled Hybrid System[J]. 中国物理快报, 2012, 29(1): 10202-010202.
LIU Ping**, FU Pei-Kai. Note on the Lax Pair of a Coupled Hybrid System. Chin. Phys. Lett., 2012, 29(1): 10202-010202.
[1] Jia M, Liu P, and Lou S Y 2008 J. Math. Phys. 49 072901 [2] Wadati M 1976 Suppl. Prog. Theor. Phys. 59 36 [3] Liu P and Lou S Y 2010 Chin. Phys. Lett. 27 020202[4] Liu P and Lou S Y 2008 Chin. Phys. Lett. 25 3311[5] Zhao H Q, Zhu Z N and Zhang J L 2011 Chin. Phys. Lett. 28 050202[6] Hu H C, Tong B and Lou S Y 2006 Phys. Lett. A 351 403 [7] Ablowtiz M J and Segur H 1981 Solitons and the Inverse Scattering Transform (Philadelphia: SIAM)
2012, Vol. 29 
