PARTIAL-DERIVATIVE-OVERBAR-DRESSING AND EXACT-SOLUTIONS FOR THE (2+1)-DIMENSIONAL HARRY-DYM EQUATION

被引:69
作者
DUBROVSKY, VG
KONOPELCHENKO, BG
机构
[1] BUDKER NUCL PHYS INST,630090 NOVOSIBIRSK,RUSSIA
[2] UNIV LECCE,DIPARTIMENTO FIS,I-73100 LECCE,ITALY
来源
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1994年 / 27卷 / 13期
关键词
D O I
10.1088/0305-4470/27/13/035
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Exact implicit solutions with functional parameters of the (2 + 1)-dimensional Harry Dym (HD) equation are constructed by the partial derivativeBAR-dressing method. The interrelation between the HD and modified Kadomtsev-Petviashvili (mKP) equations is established within the framework of the partial derivativeBAR-dressing method. Knowledge of the mKP eigenfunctions allows the solutions of the (2 + 1)-dimensional HD equation to be represented in a simple parametric form.
引用
收藏
页码:4619 / 4628
页数:10
相关论文
共 24 条
[1]   THE NON-LOCAL PARTIAL-DIFFERENTIAL-EQUATION PROBLEM AND (2+1)-DIMENSIONAL SOLITON-EQUATIONS [J].
BOGDANOV, LV ;
MANAKOV, SV .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1988, 21 (10) :L537-L544
[2]  
Calogero F., 1982, SPECTRAL TRANSFORM S
[3]   DYNAMICS OF A COMPLEX INTERFACE [J].
CONSTANTIN, P ;
KADANOFF, L .
PHYSICA D, 1991, 47 (03) :450-460
[4]   THE HIGHER-TIMES APPROACH TO MULTISOLITON SOLUTIONS OF THE HARRY DYM EQUATION [J].
DMITRIEVA, LA .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1993, 26 (21) :6005-6020
[5]   FINITE-GAP SOLUTIONS OF THE HARRY DYM EQUATION [J].
DMITRIEVA, LA .
PHYSICS LETTERS A, 1993, 182 (01) :65-70
[6]   THE DRESSING METHOD AND NONLOCAL RIEMANN-HILBERT PROBLEMS [J].
FOKAS, AS ;
ZAKHAROV, VE .
JOURNAL OF NONLINEAR SCIENCE, 1992, 2 (01) :109-134
[7]   THE KORTEWEG-DEVRIES HIERARCHY AS DYNAMICS OF CLOSED CURVES IN THE PLANE [J].
GOLDSTEIN, RE ;
PETRICH, DM .
PHYSICAL REVIEW LETTERS, 1991, 67 (23) :3203-3206
[8]  
HEREMAN W, 1989, J PHYS A, V22, P249
[9]  
HOWISON S. D., 1992, EUR J APPL MATH, V3, P209
[10]   EXACT-SOLUTIONS FOR THE SAFFMAN-TAYLOR PROBLEM WITH SURFACE-TENSION [J].
KADANOFF, LP .
PHYSICAL REVIEW LETTERS, 1990, 65 (24) :2986-2988