On an integrable two-dimensional special lattice with self-consistent sources

被引:1
作者
Gegenhasi
Tam, Hon-Wah
Wang, Hong-Yan
机构
[1] Acad Sinica, AMSS, Inst Computat Math & Sci Engn Comp, Beijing 100080, Peoples R China
[2] Chinese Acad Sci, Grad Sch, Beijing, Peoples R China
[3] Hong Kong Baptist Univ, Dept Comp Sci, Kowloon Tong, Hong Kong, Peoples R China
基金
中国国家自然科学基金;
关键词
two-dimensional special lattice with self-consistent sources; bilinear form; Casorati determinant; bilinear Backlund transformation; Lax pair;
D O I
10.1016/S0034-4877(06)80047-9
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We propose a two-dimensional special lattice with self-consistent sources which is a coupled higher-dimensional Yajima-Oikawa system. The N-soliton solutions expressed in terms of the Casorati determinants are given through Wronskian technique. ne Lax presentation for the special two-dimensional lattice with self-consistent sources is derived from bilinear Backlund transformation.
引用
收藏
页码:195 / 205
页数:11
相关论文
共 43 条
[11]   The higher-order KdV equation with a source and nonlinear superposition formula [J].
Hu, XB .
CHAOS SOLITONS & FRACTALS, 1996, 7 (02) :211-215
[12]   SOLUTION OF AN INITIAL BOUNDARY-VALUE PROBLEM FOR COUPLED NONLINEAR-WAVES [J].
LEON, J ;
LATIFI, A .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1990, 23 (08) :1385-1403
[13]   NONLINEAR EVOLUTIONS WITH SINGULAR DISPERSION-LAWS AND FORCED SYSTEMS [J].
LEON, J .
PHYSICS LETTERS A, 1990, 144 (8-9) :444-452
[14]   Solving the KdV hierarchy with self-consistent sources by inverse scattering method [J].
Lin, RL ;
Zeng, YB ;
Ma, WX .
PHYSICA A, 2001, 291 (1-4) :287-298
[15]   On the Toda lattice equation with self-consistent sources [J].
Liu, XJ ;
Zeng, YB .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2005, 38 (41) :8951-8965
[16]   Soliton, positon and negaton solutions to a Schrodinger self-consistent source equation [J].
Ma, WX .
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 2003, 72 (12) :3017-3019
[17]   KADOMTSEV-PETVIASHVILI EQUATION WITH A SOURCE AND ITS SOLITON-SOLUTIONS [J].
MATSUNO, Y .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1990, 23 (23) :L1235-L1239
[18]   INTEGRATION OF THE NONLINEAR SCHRODINGER-EQUATION WITH A SOURCE [J].
MELNIKOV, VK .
INVERSE PROBLEMS, 1992, 8 (01) :133-147
[19]   CAPTURE AND CONFINEMENT OF SOLITONS IN NONLINEAR INTEGRABLE SYSTEMS [J].
MELNIKOV, VK .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1989, 120 (03) :451-468
[20]   INTEGRATION METHOD OF THE KORTEWEG DE VRIES EQUATION WITH A SELF-CONSISTENT SOURCE [J].
MELNIKOV, VK .
PHYSICS LETTERS A, 1988, 133 (09) :493-496