## Journal of Applied Mathematics

• J. Appl. Math.
• Volume 2012, Special Issue (2012), Article ID 854619, 16 pages.

### New Jacobi Elliptic Function Solutions for the Zakharov Equations

Yun-Mei Zhao

#### Abstract

A generalized $\left({G}^{\prime }/G\right)$-expansion method is proposed to seek the exact solutions of nonlinear evolution equations. Being concise and straightforward, this method is applied to the Zakharov equations. As a result, some new Jacobi elliptic function solutions of the Zakharov equations are obtained. This method can also be applied to other nonlinear evolution equations in mathematical physics.

#### Article information

Source
J. Appl. Math., Volume 2012, Special Issue (2012), Article ID 854619, 16 pages.

Dates
First available in Project Euclid: 16 July 2013

https://projecteuclid.org/euclid.jam/1374003865

Digital Object Identifier
doi:10.1155/2012/854619

Mathematical Reviews number (MathSciNet)
MR3000287

Zentralblatt MATH identifier
1267.35231

#### Citation

Zhao, Yun-Mei. New Jacobi Elliptic Function Solutions for the Zakharov Equations. J. Appl. Math. 2012, Special Issue (2012), Article ID 854619, 16 pages. doi:10.1155/2012/854619. https://projecteuclid.org/euclid.jam/1374003865

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