ANALOG OF INVERSE SCATTERING THEORY FOR DISCRETE HILLS EQUATION AND EXACT SOLUTIONS FOR PERIODIC TODA LATTICE

被引：77

作者：

DATE, E ^{[1
]}

TANAKA, S ^{[1
]}

机构：

[1] OSAKA UNIV, DEPT MATH, TOYONAKA 560, OSAKA, JAPAN

来源：

PROGRESS OF THEORETICAL PHYSICS | 1976年 / 55卷 / 02期

关键词：

D O I：

10.1143/PTP.55.457

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

引用

页码：457 / 465

页数：9

共 26 条

[1] AKHIEZER NI, 1960, SOV MATH DOKL, V1, P989
[2] AKHIEZER NI, 1961, SOV MATH DOKL, V2, P1409
[3] AKHIEZER NI, 1961, SOV MATH DOKL, V2, P687
[4] Coddington E. A., 1955, THEORY ORDINARY DIFF
[5] DUBROVIN BA, 1974, ZH EKSP TEOR FIZ+, V67, P2131
[6] Dubrovin BA, 1975, FUNCT ANAL APPL, V9, P61, DOI [10.1007/BF01078183, DOI 10.1007/BF01078183]
[7] TODA LATTICE .2. EXISTENCE OF INTEGRALS
FLASCHKA, H
[J]. PHYSICAL REVIEW B, 1974, 9 (04) : 1924 - 1925
[8] KORTEWEG-DEVRIES EQUATION AND GENERALIZATIONS .6. METHODS FOR EXACT SOLUTION
GARDNER, CS
GREENE, JM
KRUSKAL, MD
MIURA, RM
[J]. COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1974, 27 (01) : 97 - 133
[9] METHOD FOR SOLVING KORTEWEG-DEVRIES EQUATION
GARDNER, CS
GREENE, JM
KRUSKAL, MD
MIURA, RM
[J]. PHYSICAL REVIEW LETTERS, 1967, 19 (19) : 1095 - &
[10] EXACT N-SOLITON SOLUTION OF A NONLINEAR LUMPED NETWORK EQUATION
HIROTA, R
[J]. JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1973, 35 (01) : 286 - 288