Darboux transformations for the Davey-Stewartson equations

被引:10
作者
Guil, F
Manas, M
机构
[1] Depto. de Fis. Teórica, Universidad Complutense
关键词
MULTIDIMENSIONS; SCATTERING; SOLITONS;
D O I
10.1016/0375-9601(96)00304-0
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Darboux transformations for the Davey-Stewartson system are constructed in terms of Grammian type determinants of vector solutions of the associated Lax pairs. A study of the reduction of the Darboux transformation for the Davey-Stewartson I and Davey-Stewartson II equations is presented.
引用
收藏
页码:1 / 6
页数:6
相关论文
共 22 条
[1]  
ABLOWITZ MJ, 1989, LONDON MATH SOC LEC, V149
[2]   SOLITON SOLUTIONS OF DAVEY-STEWARTSON EQUATION FOR LONG WAVES [J].
ANKER, D ;
FREEMAN, NC .
PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1978, 360 (1703) :529-540
[3]   INVERSE SCATTERING TRANSFORM METHOD AND SOLITON-SOLUTIONS FOR DAVEY-STEWARTSON-II EQUATION [J].
ARKADIEV, VA ;
POGREBKOV, AK ;
POLIVANOV, MC .
PHYSICA D, 1989, 36 (1-2) :189-197
[4]  
BENNEY DJ, 1969, STUD APPL MATH, V48, P377
[5]   SCATTERING OF LOCALIZED SOLITONS IN THE PLANE [J].
BOITI, M ;
LEON, JJP ;
MARTINA, L ;
PEMPINELLI, F .
PHYSICS LETTERS A, 1988, 132 (8-9) :432-439
[6]   3-DIMENSIONAL PACKETS OF SURFACE-WAVES [J].
DAVEY, A ;
STEWARTSON, K .
PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1974, 338 (1613) :101-110
[7]  
DEGASPERIS A, 1990, INVERSE METHODS ACTI
[8]   DROMIONS AND A BOUNDARY-VALUE PROBLEM FOR THE DAVEY-STEWARTSON-1 EQUATION [J].
FOKAS, AS ;
SANTINI, PM .
PHYSICA D-NONLINEAR PHENOMENA, 1990, 44 (1-2) :99-130
[9]   RESONANT BEHAVIOR IN THE DAVEY-STEWARTSON EQUATION [J].
GILSON, CR .
PHYSICS LETTERS A, 1992, 161 (05) :423-428
[10]   A DIRECT METHOD FOR DROMION SOLUTIONS OF THE DAVEY-STEWARTSON EQUATIONS AND THEIR ASYMPTOTIC PROPERTIES [J].
GILSON, CR ;
NIMMO, JJC .
PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1991, 435 (1894) :339-357