Open AccessThe envelope solutions to the coupled nonlinear Schr?dinger equation of Manakov type─with Jacobi elliptic functions
Author(s) -
Shoufeng Shen,
Zuliang Pan,
Jun Zhang,
Caier Ye
Publication year - 2004
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.53.2056
Subject(s) - elliptic function , jacobi elliptic functions , envelope (radar) , nonlinear system , mathematical analysis , type (biology) , jacobi method , cnoidal wave , nonlinear schrödinger equation , physics , elliptic integral , theta function , mathematics , schrödinger equation , quantum mechanics , computer science , telecommunications , radar , ecology , biology
We have simplified the extended Jacobi elliptic function expansion method, namely, improved the modified Jacobi elliptic function expansion method. We applied this method to solve the coupled nonlinear Schr?dinger equation of Manakov type and obtained some Jacobi elliptic envelope solutions and corresponding solitary wave solution, shock wave solution.