EQUATIONS INVARIANT UNDER THE SYMMETRY GROUP OF THE KADOMTSEV-PETVIASHVILI EQUATION

被引：18

作者：

DAVID, D ^{[1
]}

LEVI, D ^{[1
]}

WINTERNITZ, P ^{[1
]}

机构：

[1] UNIV MONTREAL,CTR RECH MATH,MONTREAL H3C 3J7,QUEBEC,CANADA

来源：

PHYSICS LETTERS A | 1988年 / 129卷 / 03期

关键词：

D O I：

10.1016/0375-9601(88)90136-3

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

引用

页码：161 / 164

页数：4

共 17 条

[1]

Ablowitz MJ., 1981, SOLITONS INVERSE SCA, DOI [10.1137/1.9781611970883, DOI 10.1137/1.9781611970883]

[2] ON GROUP-ANALYSIS OF THE VONKARMAN EQUATIONS [J].

AMES, KA ;

AMES, WF .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1982, 6 (08) :845-853

[3] SPECTRAL TRANSFORM FOR A 2-SPATIAL DIMENSION EXTENSION OF THE DISPERSIVE LONG-WAVE EQUATION [J].

BOITI, M ;

LEON, JJP ;

PEMPINELLI, F .

INVERSE PROBLEMS, 1987, 3 (03) :371-387

[4]

CHAMPAGNE B, IN PRESS J MATH PHYS

[5] SYMMETRY REDUCTION FOR THE KADOMTSEV-PETVIASHVILI EQUATION USING A LOOP ALGEBRA [J].

DAVID, D ;

KAMRAN, N ;

LEVI, D ;

WINTERNITZ, P .

JOURNAL OF MATHEMATICAL PHYSICS, 1986, 27 (05) :1225-1237

[6] BACKLUND-TRANSFORMATIONS AND THE INFINITE-DIMENSIONAL SYMMETRY GROUP OF THE KADOMTSEV-PETVIASHVILI EQUATION [J].

DAVID, D ;

LEVI, D ;

WINTERNITZ, P .

PHYSICS LETTERS A, 1986, 118 (08) :390-394

[7] SUBALGEBRAS OF LOOP ALGEBRAS AND SYMMETRIES OF THE KADOMTSEV-PETVIASHVILI EQUATION [J].

DAVID, D ;

KAMRAN, N ;

LEVI, D ;

WINTERNITZ, P .

PHYSICAL REVIEW LETTERS, 1985, 55 (20) :2111-2113

[8]

FOKAS AS, 1983, LECTURE NOTES PHYSIC, V189

[9]

GIBBONS J, 1987, DPNU8744 PREPR

[10]

Goddard P., 1986, INT J MOD PHYS A, V1, P303, DOI DOI 10.1142/S0217751X86000149

← 1 2 →