THE POLYNOMIAL SPECTRAL PROBLEM OF ARBITRARY ORDER - A GENERAL-FORM OF THE INTEGRABLE EQUATIONS AND BACKLUND-TRANSFORMATIONS

被引:24
作者
KONOPELCHENKO, BG
机构
来源
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1981年 / 14卷 / 12期
关键词
D O I
10.1088/0305-4470/14/12/011
中图分类号
O4 [物理学];
学科分类号
0702 ;
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页码:3125 / 3141
页数:17
相关论文
共 27 条
[1]  
ABLOWITZ MJ, 1974, STUD APPL MATH, V53, P249
[2]  
BOURBAKI N, 1972, GROUPS ALGEBRES LIE
[3]  
BULLOUGH R, 1980, TOPICS CURRENT PHYSI, V17
[4]   NONLINEAR EVOLUTION EQUATIONS SOLVABLE BY INVERSE SPECTRAL TRANSFORM .2. [J].
CALOGERO, F ;
DEGASPERIS, A .
NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA B-GENERAL PHYSICS RELATIVITY ASTRONOMY AND MATHEMATICAL PHYSICS AND METHODS, 1977, 39 (01) :1-54
[5]   NONLINEAR EVOLUTION EQUATIONS SOLVABLE BY INVERSE SPECTRAL TRANSFORM .1. [J].
CALOGERO, F ;
DEGASPERIS, A .
NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA B-BASIC TOPICS IN PHYSICS, 1976, 32 (02) :201-242
[6]   BACKLUND TRANSFORMATIONS FOR AKNS INVERSE METHOD [J].
DODD, RK ;
BULLOUGH, RK .
PHYSICS LETTERS A, 1977, 62 (02) :70-74
[7]   GENERALIZED MARCHENKO EQUATION AND THE CANONICAL STRUCTURE OF THE AKNS-ZS INVERSE METHOD [J].
DODD, RK ;
BULLOUGH, RK .
PHYSICA SCRIPTA, 1979, 20 (3-4) :514-530
[8]  
Gantmakher F.R., 1967, MATRIX THEORY
[9]   QUADRATIC BUNDLE AND NON-LINEAR EQUATIONS [J].
GERDZHIKOV, VS ;
IVANOV, MI ;
KULISH, PP .
THEORETICAL AND MATHEMATICAL PHYSICS, 1980, 44 (03) :784-795
[10]   EXACT SOLUTION FOR A DERIVATIVE NON-LINEAR SCHRODINGER EQUATION [J].
KAUP, DJ ;
NEWELL, AC .
JOURNAL OF MATHEMATICAL PHYSICS, 1978, 19 (04) :798-801