A NOTE ON THE NEW SIMILARITY REDUCTIONS OF THE BOUSSINESQ EQUATION

被引:186
作者
LOU, SY [1 ]
机构
[1] NINGBO NORMAL COLL,INST MODERN PHYS,NINGBO 315211,PEOPLES R CHINA
关键词
D O I
10.1016/0375-9601(90)90178-Q
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Using the method introduced by Clarkson and Kruskal (CK), some new similarity reductions, which are beyond the CK results, are obtained for the Boussinesq equation. © 1990.
引用
收藏
页码:133 / 135
页数:3
相关论文
共 9 条
[1]  
BLUMAN GW, 1969, J MATH MECH, V18, P1025
[2]  
Boussinesq J., 1871, CR HEBD ACAD SCI, V72, P755
[3]  
BOUSSINESQ J, 1872, J MATH PURE APPL, V7, P55
[4]   NEW SIMILARITY REDUCTIONS OF THE BOUSSINESQ EQUATION [J].
CLARKSON, PA ;
KRUSKAL, MD .
JOURNAL OF MATHEMATICAL PHYSICS, 1989, 30 (10) :2201-2213
[5]  
Ince E.L., 1956, ORDINARY DIFFERENTIA
[6]   NON-CLASSICAL SYMMETRY REDUCTION - EXAMPLE OF THE BOUSSINESQ EQUATION [J].
LEVI, D ;
WINTERNITZ, P .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1989, 22 (15) :2915-2924
[7]  
OLVER PJ, 1986, APPLICATIONS LIE GRO
[8]  
Toda M., 1975, Physics Reports. Physics Letters Section C, V18c, P1, DOI 10.1016/0370-1573(75)90018-6
[9]  
Zakharov V. E., 1974, ZHETF, V38, P108