RATH

A Maple package RATH which outputs entirely automatically tanh-polynomial travelling solitary wave solutions of a given nonlinear evolution equation is presented. The effectiveness of RATH is demonstrated by applications to a variety of equations with physical interest as examples. Not only are previously known solutions recovered but in some cases new solutions and more general form of solutions are obtained. (Source: http://cpc.cs.qub.ac.uk/summaries/)


References in zbMATH (referenced in 82 articles , 2 standard articles )

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  1. Elboree, Mohammed K.: Hyperbolic and trigonometric solutions for some nonlinear evolution equations (2012)
  2. El-Ganaini, Shoukry: Applications of He’s variational principle and the first integral method to the Gardner equation (2012)
  3. Ge, Juhong; Hua, Cuncai; Feng, Zhaosheng: A method for constructing traveling wave solutions to nonlinear evolution equations (2012)
  4. Nuseir, Ameina S.: New exact solutions to the modified Fornberg-Whitham equation (2012)
  5. 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)
  6. Kavitha, L.; Akila, N.; Prabhu, A.; Kuzmanovska-Barandovska, O.; Gopi, D.: Exact solitary solutions of an inhomogeneous modified nonlinear Schrödinger equation with competing nonlinearities (2011)
  7. Sekulić, Dalibor L.; Satarić, Miljko V.; Živanov, Miloš B.: Symbolic computation of some new nonlinear partial differential equations of nanobiosciences using modified extended tanh-function method (2011)
  8. Taghizadeh, Nasir; Mirzazadeh, Mohammad; Farahrooz, Foroozan: Exact travelling wave solutions of the coupled Klein-Gordon equation by the infinite series method (2011)
  9. Yang, Hongwei; Yin, Baoshu; Dong, Huanhe: Frobenius integrable decompositions for high-order nonlinear evolution equations (2011)
  10. Feng, Yang; Wang, Dan; Li, Wen-Ting; Zhang, Hong-Qing: More solutions of the auxiliary equation to get the solutions for a class of nonlinear partial differential equations (2010)
  11. Gao, Xianwen; Liu, Jun; Li, Zitian: New exact kink solutions, solitons and periodic form solutions for the Gardner equation (2010)
  12. Kudryashov, Nikolay A.: A new note on exact complex travelling wave solutions for $(2+1)$-dimensional B-type Kadomtsev-Petviashvili equation (2010)
  13. Li, Hongzhe; Tian, Bo; Li, Lili; Zhang, Haiqiang: Painlevé analysis and Darboux transformation for a variable-coefficient Boussinesq system in fluid dynamics with symbolic computation (2010)
  14. Liu, Cheng-Shi: Applications of complete discrimination system for polynomial for classifications of traveling wave solutions to nonlinear differential equations (2010)
  15. Wang, Jing: Some new and general solutions to the compound KdV-Burgers system with nonlinear terms of any order (2010)
  16. Wazwaz, Abdul-Majid; Mehanna, Mona S.: A variety of exact travelling wave solutions for the $(2+1)$-dimensional Boiti-Leon-Pempinelli equation (2010)
  17. Zhang, Huiqun: Application of the $(\fracG'G)$-expansion method for the complex KdV equation (2010)
  18. Zhang, Huiqun: A note on exact complex travelling wave solutions for $(2+1)$-dimensional B-type Kadomtsev-Petviashvili equation (2010)
  19. Zhang, Jiao; Wei, Xiaoli; Hou, Jingchen: Symbolic computation of exact solutions for the compound KdV-Sawada-Kotera equation (2010)
  20. Zhou, Zhen-jiang; Fu, Jing-zhi; Li, Zhi-bin: Maple packages for computing Hirota’s bilinear equation and multisoliton solutions of nonlinear evolution equations (2010)

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