THETA-FUNCTIONS, GAUSSIAN SERIES, AND SPATIALLY PERIODIC-SOLUTIONS OF THE KORTEWEG-DE VRIES EQUATION

被引：41
作者：
BOYD, JP
机构：
来源：
JOURNAL OF MATHEMATICAL PHYSICS | 1982年 / 23卷 / 03期
关键词：
D O I：
10.1063/1.525380
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
引用
收藏
页码：375 / 387
页数：13
相关论文
共 21 条
[1]  
BELLMAN R, 1961, BRIEF INTRO THETA FU, P45
[2]  
Bender CM., 1978, ADV MATH METHODS SCI
[3]  
BOYD JP, 1980, J PHYS OCEANOGR, V10, P1699, DOI 10.1175/1520-0485(1980)010<1699:ESWPIR>2.0.CO
[4]  
2
[5]  
Dubrovin B. A., 1976, RUSSIAN MATH SURVEYS, V31, P59, DOI [10.1070/RM1976v031n01ABEH001446, DOI 10.1070/RM1976V031N01ABEH001446]
[6]   METHOD FOR SOLVING KORTEWEG-DEVRIES EQUATION [J].
GARDNER, CS ;
GREENE, JM ;
KRUSKAL, MD ;
MIURA, RM .
PHYSICAL REVIEW LETTERS, 1967, 19 (19) :1095-&
[7]   EXACT SOLUTION OF KORTEWEG-DE VRIES EQUATION FOR MULTIPLE COLLISIONS OF SOLITONS [J].
HIROTA, R .
PHYSICAL REVIEW LETTERS, 1971, 27 (18) :1192-+
[8]   A DIRECT APPROACH TO MULTI-PERIODIC WAVE SOLUTIONS TO NON-LINEAR EVOLUTION-EQUATIONS [J].
HIROTA, R ;
ITO, M .
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1981, 50 (01) :338-342
[9]   NEW FORM OF BACKLUND TRANSFORMATIONS AND ITS RELATION TO INVERSE SCATTERING PROBLEM [J].
HIROTA, R .
PROGRESS OF THEORETICAL PHYSICS, 1974, 52 (05) :1498-1512
[10]  
Korteweg DJ., 1895, PHILOS MAG, V39, P422, DOI [10.1080/14786449508620739, DOI 10.1080/14786449508620739]
123