NEW CLASSES OF SYMMETRIES FOR PARTIAL-DIFFERENTIAL EQUATIONS

被引:211
作者
BLUMAN, GW [1 ]
REID, GJ [1 ]
KUMEI, S [1 ]
机构
[1] SHINSHU UNIV,FAC TEXT SCI & TECHNOL,UEDA,NAGANO 386,JAPAN
关键词
D O I
10.1063/1.527974
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
引用
收藏
页码:806 / 811
页数:6
相关论文
共 19 条
[1]  
Anderson R. L., 1979, LIE BACKLUND TRANSFO
[2]   GENERALIZATION OF CONCEPT OF INVARIANCE OF DIFFERENTIAL EQUATIONS - RESULTS OF APPLICATIONS TO SOME SCHRODINGER EQUATIONS [J].
ANDERSON, RL ;
WULFMAN, CE ;
KUMEI, S .
PHYSICAL REVIEW LETTERS, 1972, 28 (15) :988-&
[3]   ON INVARIANCE PROPERTIES OF THE WAVE-EQUATION [J].
BLUMAN, G ;
KUMEI, S .
JOURNAL OF MATHEMATICAL PHYSICS, 1987, 28 (02) :307-318
[4]   EXACT-SOLUTIONS FOR WAVE-EQUATIONS OF 2-LAYERED MEDIA WITH SMOOTH TRANSITION [J].
BLUMAN, G ;
KUMEI, S .
JOURNAL OF MATHEMATICAL PHYSICS, 1988, 29 (01) :86-96
[5]  
BLUMAN G, IN PRESS J MATH ANAL
[6]  
Bluman G.W., 1974, SIMILARITY METHODS D
[7]  
BLUMAN GW, 1967, THESIS CALTECH
[8]  
Ibragimov N. Kh., 1985, TRANSFORMATION GROUP
[9]  
KAPCOV OV, 1982, SOV MATH DOKL, V25, P173
[10]   ON THE GROUP THEORETICAL-ANALYSIS OF DIFFERENTIAL-EQUATIONS [J].
KONOPELCHENKO, BG ;
MOKHNACHEV, VG .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1980, 13 (10) :3113-3124