PERIODIC-SOLUTIONS OF THE 2ND MODIFIED KDV EQUATION

被引：0

作者：

CHOW, KW

机构：

[1] Department of Mathematics, University of Arizona, Tucson

来源：

JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN | 1994年 / 63卷 / 01期

关键词：

D O I：

10.1143/JPSJ.63.35

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Recently it has been shown that the superposition of solitons constitutes an exact periodic solution of many well known nonlinear evolution equations, including, for example, the Korteweg-de Vries (KdV) and the modified KdV equations. The same phenomenon is investigated for the second modified KdV equation.

引用

页码：35 / 39

页数：5

共 7 条

[1] Abramowitz M., 1965, HDB MATH FUNCTIONS
[2] Boyd J.P., 1989, ADV APPL MECH, V27, P1
[3] RAPIDLY-CONVERGENT METHODS FOR EVALUATING ELLIPTIC INTEGRALS AND THETA AND ELLIPTIC FUNCTIONS
FENTON, JD
GARDINERGARDEN, RS
[J]. JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES B-APPLIED MATHEMATICS, 1982, 24 (JUL): : 47 - 58
[4] Gradshteyn I.S., 1965, TABLES OF INTEGRALS
[5] LAWDEN DF, 1989, ELLIPTIC FUNCTIONS A, P80
[6] 2ND MODIFIED KDV EQUATION AND ITS EXACT MULTI-SOLITON SOLUTION
NAKAMURA, A
HIROTA, R
[J]. JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1980, 48 (05) : 1755 - 1762
[7] COMMENTS ON PERIODIC-WAVES AND SOLITONS
WHITHAM, GB
[J]. IMA JOURNAL OF APPLIED MATHEMATICS, 1984, 32 (1-3) : 353 - 366

← 1 →