GROUP THEORETICAL NATURE OF BACKLUND TRANSFORMATIONS

被引：13

作者：

FOKAS, AS ^{[1
]}

ANDERSON, RL ^{[1
]}

机构：

[1] UNIV PACIFIC,DEPT PHYS,STOCKTON,CA 95204

来源：

LETTERS IN MATHEMATICAL PHYSICS | 1979年 / 3卷 / 02期

关键词：

D O I：

10.1007/BF00400066

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The purpose of this paper is to establish the group theoretical nature of Bäcklund transformations admitted by evolution equations. This result can be easily extended to other types of equations. © 1979 D. Reidel Publishing Company.

引用

页码：117 / 126

页数：10

共 8 条

[1]

ANDERSON RL, LIE BACKLUND TRANSFO

[2]

BACKLUND AV, 1880, MATH ANN, V17, P285

[3]

CLAIRIN J, 1902, ANN SCI ECOLE NORM S, V19, P1

[4]

FOKAS AS, 1979, THESIS CALIFORNIA I

[5]

GOURSAT E, 1925, MEMORIAL SCI MATH

[6] LIE-BACKLUND TANGENT TRANSFORMATIONS [J].

IBRAGIMOV, NH ;

ANDERSON, RL .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1977, 59 (01) :145-162

[7]

Ovsjannikov LV., 1962, GROUP PROPERTIES DIF

[8] BACKLUND TRANSFORMATION FOR SOLUTIONS OF KORTEWEG-DE VRIES EQUATION [J].

WAHLQUIST, HD ;

ESTABROOK, FB .

PHYSICAL REVIEW LETTERS, 1973, 31 (23) :1386-1390

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