THETA-FUNCTIONS AND THE DISPERSION-RELATIONS OF PERIODIC-WAVES

被引:10
作者
CHOW, KW
机构
[1] Department of Mathematics, University of Arizona, Tucson
关键词
D O I
10.1143/JPSJ.62.2007
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The phase speeds or the dispersion relations for the periodic waves of certain non-linear evolution equations can be expressed in remarkably compact forms by using theta functions.
引用
收藏
页码:2007 / 2011
页数:5
相关论文
共 6 条
[1]   CNOIDAL WAVES AS EXACT SUMS OF REPEATED SOLITARY WAVES - NEW SERIES FOR ELLIPTIC FUNCTIONS [J].
BOYD, JP .
SIAM JOURNAL ON APPLIED MATHEMATICS, 1984, 44 (05) :952-955
[2]   RAPIDLY-CONVERGENT METHODS FOR EVALUATING ELLIPTIC INTEGRALS AND THETA AND ELLIPTIC FUNCTIONS [J].
FENTON, JD ;
GARDINERGARDEN, RS .
JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES B-APPLIED MATHEMATICS, 1982, 24 (JUL) :47-58
[3]  
LAWDEN D, APPLIED MATH SCI, P80
[4]  
MATSUNO Y, BILINEAR TRANSFORMAT, P174
[5]   ON PERIODIC AND SOLITARY WAVELIKE SOLUTIONS OF THE INTERMEDIATE LONG-WAVE EQUATION [J].
MILOH, T .
JOURNAL OF FLUID MECHANICS, 1990, 211 :617-627
[6]   COMMENTS ON PERIODIC-WAVES AND SOLITONS [J].
WHITHAM, GB .
IMA JOURNAL OF APPLIED MATHEMATICS, 1984, 32 (1-3) :353-366