A note on the Jacobi elliptic function expansion method
โ Scribed by Shoufeng Shen; Zuliang Pan
- Book ID
- 108443333
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 78 KB
- Volume
- 308
- Category
- Article
- ISSN
- 0375-9601
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
In this work, a new generalized Jacobi elliptic function rational expansion method is based upon twenty-four Jacobi elliptic functions and eight double periodic Weierstrass elliptic functions, which solve the elliptic equation ฯ โฒ2 = r + pฯ 2 + qฯ 4 , is described. As a consequence abundant new Jac
An algebraic method is given for the power series expansions of the Jacobi elliptic functions, based on the properties of the algebra associated with differential equations defining the functions.
In this letter, an extended Jacobi elliptic function expansion method is proposed for constructing the exact solutions of nonlinear wave equations. The validity and reliability of the method is tested by its applications to some nonlinear wave equations. New exact solutions are found.