NEW NONLOCAL SYMMETRIES WITH PSEUDOPOTENTIALS

被引：79
作者：
GALAS, F
机构：
[1] Inst. fur Mathematische Phys., Tech. Univ., Braunschweig
来源：
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1992年 / 25卷 / 15期
关键词：
D O I：
10.1088/0305-4470/25/15/014
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The concept of non-local Lie-Backlund symmetries can be generalized by including pseudopotentials. For the KdV, HD and AKNS equations we calculate generalized symmetries of such a kind. The solitary wave solutions are obtained through the transformation of trivial solutions.
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页码：L981 / L986
页数：6
相关论文
共 11 条
[1]  
Bluman G. W., 1989, SYMMETRIES DIFFERENT
[2]  
Edelen DGB, 1980, ISOVECTOR METHODS EQ
[3]  
FOKAS AS, 1987, STUD APPL MATH, V77, P253
[4]  
Ibragimov N. Kh., 1985, TRANSFORMATION GROUP
[5]  
KOSMANNSCHWARZB.Y, 1984, DIFFERENTIAL GEOMETR
[6]   NONLOCAL SYMMETRIES AND THE THEORY OF COVERINGS - AN ADDENDUM TO VINOGRADOV,A.M. LOCAL SYMMETRIES AND CONSERVATION-LAWS [J].
KRASILSHCHIK, IS ;
VINOGRADOV, AM .
ACTA APPLICANDAE MATHEMATICAE, 1984, 2 (01) :79-96
[7]   NONLOCAL TRENDS IN THE GEOMETRY OF DIFFERENTIAL-EQUATIONS - SYMMETRIES, CONSERVATION-LAWS, AND BACKLUND-TRANSFORMATIONS [J].
KRASILSHCHIK, IS ;
VINOGRADOV, AM .
ACTA APPLICANDAE MATHEMATICAE, 1989, 15 (1-2) :161-209
[8]  
OLVER PJ, 1986, APPLICATIONS LIE GRO
[9]   NONLOCAL HIGHER-ORDER SYMMETRIES FOR THE FEDERBUSH MODEL [J].
SLUIS, WM ;
KERSTEN, PHM .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1990, 23 (11) :2195-2204
[10]  
Stephani H., 1989, DIFF EQUAT+
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