446
Views
98
CrossRef citations to date
0
Altmetric
Section B

An improved (G′/G)-expansion method for solving nonlinear evolution equations

, &
Pages 1716-1725 | Received 20 Feb 2008, Accepted 03 Sep 2008, Published online: 25 Jun 2009

References

  • Abdou , M. A. 2007 . The extended F-expansion method and its application for a class of nonlinear evolution equations . Chaos Solitons Fractals , 31 : 95 – 104 .
  • Abdou , M. A. 2007 . The extended tanh method and its applications for solving nonlinear physical models . Appl. Math. Comput. , 190 : 988 – 996 .
  • Abdou , M. A. 2008 . An improved generalized F-expansion method and its applications . J. Comput. Appl. Math. , 214 : 202 – 208 .
  • Abdou , M. A. and Elhanbaly , A. 2007 . Construction of periodic and solitary wave solutions by the extended Jacobi elliptic function expansion method . Commun. Nonlinear Sci. Numer. Simul. , 12 : 1229 – 1241 .
  • Abdou , M. A. , Soliman , A. A. and El-Basyony , S. T. 2007 . New application of Exp-function method for improved Boussinesq equation . Phys. Lett. A , 369 : 469 – 475 .
  • Ablowitz , M. J. and Segur , H. 1981 . Solitons and the Inverse Scattering Transform , Philadelphia : SIAM .
  • Fan , E. G. 2000 . Extended tanh-function method and its applications to nonlinear equations . Phys. Lett. A , 277 : 212 – 218 .
  • Fan , E. G. and Zhang , H. Q. 1998 . A note on the homogeneous balance method . Phys. Lett. A , 246 : 403 – 406 .
  • He , J. H. and Abdou , M. A. 2007 . New periodic solutions for nonlinear evolution equations using Exp-function method . Chaos Solitons Fractals , 34 : 1421 – 1429 .
  • Hirota , R. 2004 . The Direct Method in Soliton Theory , Cambridge : Cambridge University Press . (in English)
  • Li , Z. B. and Liu , Y. P. 2002 . A Maple package for finding travelling solitary wave solutions to nonlinear evolution equations . Comput. Phys. Comm. , 148 : 256 – 266 .
  • Matveev , V. B. and Salle , M. A. 1991 . Darboux Transformations and Solitons , Berlin : Springer-Verlag .
  • Nimmo , J. J.C. 1983 . A bilinear Bäcklund transformation for the nonlinear Schrödinger equation . Phys. Lett. A , 99 : 279 – 280 .
  • Wang , M. L. 1996 . Exact solutions for a compound KdV–Burgers equation . Phys. Lett. A , 213 : 279 – 287 .
  • Wang , M. L. , Li , X. Z. and Zhang , J. L. 2008 . The -expansion method and travelling wave solutions of nonlinear evolution equations in mathematical physics . Phys. Lett. A , 372 : 417 – 423 .
  • Wang , M. L. , Zhou , Y. B. and Li , Z. B. 1996 . Application of a homogeneous balance method to exact solutions of nonlinear equations in mathematical physics . Phys. Lett. A , 216 : 67 – 75 .
  • Zhang , J. , Wei , X. L. and Lu , Y. J. 2008 . A generalized -expansion method and its applications . Phys. Lett. A , 372 : 3653 – 3658 .
  • Zhou , Y. B. , Wang , M. L. and Wang , Y. M. 2003 . Periodic wave solutions to a coupled KdV equations with variable coefficients . Phys. Lett. A , 308 : 31 – 36 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.