TY - JOUR
T1 - Painlevé property and conservation laws of multi-component mKdV equations
AU - Yao, Ruoxia
AU - Qu, Changzheng
AU - Li, Zhibin
PY - 2004/11
Y1 - 2004/11
N2 - It is shown that two classes of n-component mKdV equations are Painlevé integrable, and the resonances occur, respectively, at -1,3,4, 0,...,0,n-1, 1,...,1n-1, 5,...,5n-1 for the geometric n-component mKdV equation which arises from curve motions in Euclidean space, and -1,3,4, 0,...,0,n-1, 2,...,2n-1, 4,...,4 n-1 for another n-component mKdV equation which has an infinite number of Lie Bäcklund symmetries. It is also shown that the two-component geometric mKdV equation admits an infinite number of conservation laws. Conservation laws for several systems are constructed.
AB - It is shown that two classes of n-component mKdV equations are Painlevé integrable, and the resonances occur, respectively, at -1,3,4, 0,...,0,n-1, 1,...,1n-1, 5,...,5n-1 for the geometric n-component mKdV equation which arises from curve motions in Euclidean space, and -1,3,4, 0,...,0,n-1, 2,...,2n-1, 4,...,4 n-1 for another n-component mKdV equation which has an infinite number of Lie Bäcklund symmetries. It is also shown that the two-component geometric mKdV equation admits an infinite number of conservation laws. Conservation laws for several systems are constructed.
UR - https://www.scopus.com/pages/publications/2042511648
U2 - 10.1016/j.chaos.2004.02.041
DO - 10.1016/j.chaos.2004.02.041
M3 - 文章
AN - SCOPUS:2042511648
SN - 0960-0779
VL - 22
SP - 723
EP - 730
JO - Chaos, Solitons and Fractals
JF - Chaos, Solitons and Fractals
IS - 3
ER -