Expansion method about the Jacobi elliptic function and its applications to nonlinear wave equations

Citation
Sk. Liu et al., Expansion method about the Jacobi elliptic function and its applications to nonlinear wave equations, ACT PHY C E, 50(11), 2001, pp. 2068-2073
Citations number
20
Categorie Soggetti
Physics
Journal title
ACTA PHYSICA SINICA
ISSN journal
10003290 → ACNP
Volume
50
Issue
11
Year of publication
2001
Pages
2068 - 2073
Database
ISI
SICI code
1000-3290(200111)50:11<2068:EMATJE>2.0.ZU;2-M
Abstract
A Jacobi elliptic function expansion method is proposed to construct the ex act periodic solutions of nonlinear wave equations. This new method contain s the hyperbolic tangent expansion method, and the periodic solutions obtai ned by this method, include the shock wave solutions and the solitary wave solutions.