Is the "drunken sinusoid" a soliton solution?

Authors
Czyz, J
Citation
J. Czyz, Is the "drunken sinusoid" a soliton solution?, REP MATH PH, 43(1-2), 1999, pp. 83-92
Citations number
8
Categorie Soggetti
Physics
Journal title
REPORTS ON MATHEMATICAL PHYSICS
ISSN journal
00344877 → ACNP
Volume
43
Issue
1-2
Year of publication
1999
Pages
83 - 92
Database
ISI
SICI code
0034-4877(199902/04)43:1-2<83:IT"SAS>2.0.ZU;2-3
Abstract
A family of functions f(alpha)(x) = sin(z + alpha) exp(cos(x)) is analysed. Explicit formulae for the Fourier and Maclaurin expansion of f(alpha) are calculated and a hierarchy of algebraic differential equations admitting so me f(alpha) as solutions is presented. A few problems concerning analytic a nd algebraic properties of f(alpha) are mentioned as well as natural wave f eatures of f(alpha) are regarded.