Journal of Jilin University Science Edition

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New Jacobi Elliptic Function Periodic Solutions ofGeneralized Zakharov Equations

CHANG Jing1, GAO Yixian2, ZHAO Xin1, LI Zhuoshi1   

  1. 1. College of Information Technology, Jilin Agricultural University, Changchun 130118, China;2. School of Mathematics and Statistics, Northeast Normal University, Changchun 130024, China
  • Received:2015-07-03 Online:2016-09-26 Published:2016-09-19
  • Contact: GAO Yixian E-mail:gaoyx643@nenu.edu.cn

Abstract:

We obtained a new Jacobi elliptic function periodic solutions of generalized Zakharov equations by using improved Jacobi elliptic function method. The results show that some of these solutions can be degenerated into the corresponding soliton solutions and triangular function solutions in the limit cases. This method can also be used to solve the exact travelling wave solutions of other nonlinear equations.

Key words: Jacobi elliptic function method, generalized Zakharov equations, travelling wave solution, soliton solution

CLC Number: 

  • O175.29