Open AccessElliptic function propagating wave for Maccari system
Author(s) -
Huang Wen-hua,
Yulu Liu
Publication year - 2007
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.56.5026
Subject(s) - elliptic function , jacobi elliptic functions , variable (mathematics) , physics , mathematical analysis , degenerate energy levels , function (biology) , theta function , mathematics , quantum mechanics , evolutionary biology , biology
Based on the exact solution by multi-linear variable separation approach and introducing Jacobi elliptic functions in the variable separation functions, two types of doubly periodic propagating wave patterns for the Maccari system are derived. When the moduli of elliptic functions are set different, these periodic waves show different features with interesting properties. Especially, in the limiting case, the elliptic function waves may degenerate to dromion and peakon excitations. Graphical investigation of the interaction of elliptic function waves shows it to be inelastic.