Quasi-Grammian Solutions of the Generalized Coupled Dispersionless Integrable System

被引：9
作者：
Haider, Bushra [1 ]
Mahmood-ul Hassan [1 ]
机构：
[1] Univ Punjab, Dept Phys, Lahore 54590, Pakistan
来源：
SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS | 2012年 / 8卷
关键词：
integrable systems; binary Darboux transformation; quasideterminants; BINARY DARBOUX TRANSFORMATIONS; DIFFERENTIAL-DIFFERENCE; EXPLICIT SOLUTIONS; SINE-GORDON; EQUATIONS; DETERMINANTS;
D O I：
10.3842/SIGMA.2012.084
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The standard binary Darboux transformation is investigated and is used to obtain quasi-Grammian multisoliton solutions of the generalized coupled dispersionless integrable system.
引用
收藏
页数：15
相关论文
共 49 条
[1]   TOPOLOGICAL CONFORMAL FIELD-THEORY WITH A RATIONAL W POTENTIAL AND THE DISPERSIONLESS KP HIERARCHY [J].
AOYAMA, S ;
KODAMA, Y .
MODERN PHYSICS LETTERS A, 1994, 9 (27) :2481-2492
[2]   SOLUTION OF THE DISPERSIONLESS HIROTA EQUATIONS [J].
CARROLL, R ;
KODAMA, Y .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1995, 28 (22) :6373-6387
[3]  
CIESLINSKI J, 1995, J MATH PHYS, V36, P5670, DOI 10.1063/1.531282
[4]   A new approach to the Darboux-Backlund transformation versus the standard dressing method [J].
Cieslinski, JL ;
Biernacki, W .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2005, 38 (43) :9491-9501
[5]  
Darboux G., 1896, LECONS THEORIE GEN S, V4
[6]  
Darboux G., 1882, C. R. Acad. Sci., V94, P1456
[7]  
Doktorov E.V., 2007, MATH PHYS STUDIES, V28
[8]   An interpolating dispersionless integrable system [J].
Dunajski, Maciej .
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2008, 41 (31)
[9]   Quasideterminants [J].
Gelfand, I ;
Gelfand, S ;
Retakh, V ;
Wilson, RL .
ADVANCES IN MATHEMATICS, 2005, 193 (01) :56-141
[10]  
Gelfand I., 2003, American Mathematical Society Translation Series 2, 210, Advances in Mathematical Sciences, V54, P111
12345