INTEGRABLE TWO-DIMENSIONAL GENERALIZATION OF THE SINE-GORDON EQUATION AND SINH-GORDON EQUATION

被引:139
作者
BOITI, M [1 ]
LEON, JJP [1 ]
PEMPINELLI, F [1 ]
机构
[1] UNIV MONTPELLIER 2,PHYS MATH LAB,CNRS,UNITE 040768,F-34060 MONTPELLIER,FRANCE
关键词
D O I
10.1088/0266-5611/3/1/009
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
引用
收藏
页码:37 / 49
页数:13
相关论文
共 28 条
[1]   A CONNECTION BETWEEN NON-LINEAR EVOLUTION-EQUATIONS AND ORDINARY DIFFERENTIAL-EQUATIONS OF P-TYPE .1. [J].
ABLOWITZ, MJ ;
RAMANI, A ;
SEGUR, H .
JOURNAL OF MATHEMATICAL PHYSICS, 1980, 21 (04) :715-721
[2]   METHOD FOR SOLVING SINE-GORDON EQUATION [J].
ABLOWITZ, MJ ;
KAUP, DJ ;
NEWELL, AC ;
SEGUR, H .
PHYSICAL REVIEW LETTERS, 1973, 30 (25) :1262-1264
[3]  
ABLOWITZ MJ, 1983, STUD APPL MATH, V69, P135
[4]  
Ablowitz MJ, 1981, SIAM STUD APPL MATH
[5]   A GENERAL-METHOD FOR OBTAINING THE DOUBLE BACKLUND-TRANSFORMATIONS [J].
BOITI, M ;
PEMPINELLI, F ;
TU, GZ .
PHYSICS LETTERS A, 1983, 93 (03) :107-110
[6]   A RECURSIVE GENERATION OF LOCAL HIGHER-ORDER SINE-GORDON EQUATIONS AND THEIR BACKLUND TRANSFORMATION [J].
BOITI, M ;
LEON, JJP ;
PEMPINELLI, F .
JOURNAL OF MATHEMATICAL PHYSICS, 1984, 25 (06) :1725-1734
[7]   ON THE SPECTRAL TRANSFORM OF A KORTEWEG-DEVRIES EQUATION IN 2 SPATIAL DIMENSIONS [J].
BOITI, M ;
LEON, JJP ;
MANNA, M ;
PEMPINELLI, F .
INVERSE PROBLEMS, 1986, 2 (03) :271-279
[8]   SOLUTION OF THE CAUCHY-PROBLEM FOR A GENERALIZED SINE-GORDON EQUATION [J].
BOITI, M ;
LEON, JJP ;
PEMPINELLI, F .
JOURNAL OF MATHEMATICAL PHYSICS, 1985, 26 (02) :270-275
[9]   BACKLUND-TRANSFORMATIONS VIA GAUGE TRANSFORMATIONS IN 2+1 DIMENSIONS [J].
BOITI, M ;
KONOPELCHENKO, BG ;
PEMPINELLI, F .
INVERSE PROBLEMS, 1985, 1 (01) :33-56
[10]   MULTIPLE-KINK-SOLITON SOLUTIONS OF THE NON-LINEAR SCHRODINGER-EQUATION [J].
BOITI, M ;
LADDOMADA, C ;
PEMPINELLI, F .
NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA B-GENERAL PHYSICS RELATIVITY ASTRONOMY AND MATHEMATICAL PHYSICS AND METHODS, 1981, 65 (01) :248-258