RAEEM: A Maple package for finding a series of exact traveling wave solutions for nonlinear evolution equations. In Maple 8, by taking advantage of the package RIF contained in DEtools, we developed a package RAEEM which is a comprehensive and complete implementation of such methods as the tanh-method, the extended tanh-method, the Jacobi elliptic function method and the elliptic equation method. RAEEM can entirely automatically output a series of exact traveling wave solutions, including those of polynomial, exponential, triangular, hyperbolic, rational, Jacobi elliptic, Weierstrass elliptic type. The effectiveness of the package is illustrated by applying it to a large variety of equations. In addition to recovering previously known solutions, we also obtain more general forms of some solutions and new solutions. (Source: http://cpc.cs.qub.ac.uk/summaries/)

References in zbMATH (referenced in 12 articles , 1 standard article )

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  1. Liu, Yinping; Yao, Ruoxia; Li, Zhibin; Yang, Le; Zhang, Zhian: An online computing and knowledge platform for differential equations (2016)
  2. Zhao, Lei; Huang, Dingjiang; Zhou, Shuigeng: A new algorithm for automatic computation of solitary wave solutions to nonlinear partial differential equations based on the Exp-function method (2012)
  3. Yang, Hongwei; Yin, Baoshu; Dong, Huanhe: Frobenius integrable decompositions for high-order nonlinear evolution equations (2011)
  4. Liu, Cheng-Shi: Applications of complete discrimination system for polynomial for classifications of traveling wave solutions to nonlinear differential equations (2010)
  5. Vanaja, V.: Exact solutions of a nonlinear diffusion-convection equation (2009)
  6. Liang, Songxin; Jeffrey, David J.: Automatic computation of the travelling wave solutions to nonlinear PDEs (2008)
  7. Shang, Yadong: The extended hyperbolic function method and exact solutions of the long-short wave resonance equations (2008)
  8. Shang, Yadong; Huang, Yong; Yuan, Wenjun: The extended hyperbolic functions method and new exact solutions to the Zakharov equations (2008)
  9. Shang, Yadong; Huang, Yong; Yuan, Wenjun: New exact traveling wave solutions for the Klein-Gordon-Zakharov equations (2008)
  10. Shang, Yadong: Bäcklund transformation, Lax pairs and explicit exact solutions for the shallow water waves equation (2007)
  11. Xu, Guiqiong: An elliptic equation method and its applications in nonlinear evolution equations (2006)
  12. Li, Zhi-Bin; Liu, Yin-Ping: RAEEM: A Maple package for finding a series of exact traveling wave solutions for nonlinear evolution equations (2004)