Open AccessMore on linear superposition method for the (2+1)－dimensional nonlinear wave equations
Author(s) -
Xian-Jing Lai,
Jie-Fang Zhang
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.53.4065
Subject(s) - superposition principle , elliptic function , nonlinear system , jacobi elliptic functions , periodic wave , mathematical analysis , traveling wave , mathematics , physics , quantum mechanics
In this paper, we find periodic solutions with different periods and velocities to the (2+1)-dimensional general Schdinger and Boussinesq equations by making approprite linear superpositions of known periodic travelling wave solutions in volving Jacobi elliptic functions.It is noteworthy that this linear superpositio n procedure works by virtue of some remarkable new identities involving elliptic functions.