The Jacobi elliptic-function method for finding periodic-wave solutions to nonlinear evolution equations

By E. Parkes, Brian R. Duffy, P. Abbott. 2002

267 citations recorded by the source corpus.

Subfields: Numerical Analysis, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/212041364fc67f312abd09a34cb80ade4cb91b5e

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Numerical Analysis

1. Wenxiu Ma
2. Yi Zhang
3. Tingwen Huang
4. N. Kudryashov
5. Nikolay K. Vitanov
6. Xi-Xiang Xu
7. Yufeng Zhang
8. Y. Pandır

In Statistical and Nonlinear Physics

1. Wenxiu Ma
2. N. Kudryashov
3. Yi Zhang
4. Tingwen Huang
5. Nikolay K. Vitanov
6. Zuo-nong Zhu
7. Jin-Yun Yang
8. Zlatinka I. Dimitrova

Citations in the corpus

• One method for finding exact solutions of nonlinear differential equations (2011, methodology): “Let us call here the following methods: the tanh - expansion method [3, 4], the simplest equation method [5,6], the Jacobi elliptic - function method [7], the modified simplest equation method [8–10], the cosh - function method [11,12], the Exp - function method [13, 14], the G ′ /G - expansion meth”
• A multiple exp-function method for nonlinear differential equations and its application (2010, methodology): “It has been broadly adopted in the tanh-function type methods [10, 11, 14], the Jacobi elliptic function method [32, 33],”