About this Journal Submit a Manuscript Table of Contents
Abstract and Applied Analysis
Volume 2013 (2013), Article ID 767254, 5 pages
http://dx.doi.org/10.1155/2013/767254
Research Article

The Multisoliton Solutions for the -Dimensional Sawada-Kotera Equation

1Applied Technology College, Southwest University of Science and Technology, Mianyang 621010, China
2School of Science, Southwest University of Science and Technology, Mianyang 621010, China
3School of Mathematics and Computer Science, Mianyang Normal University, Mianyang 621000, China

Received 13 November 2012; Revised 19 December 2012; Accepted 1 January 2013

Academic Editor: Lan Xu

Copyright © 2013 Zhenhui Xu et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. M. J. Abolowitz and P. A. Clarkson, Solitons, Nonlinear Evolution Equations and Inverse Scattering Transform, Cambridge University Press, Cambridge, UK, 1991. View at Publisher · View at Google Scholar
  2. A. Maccari, “Chaos, solitons and fractals in the nonlinear Dirac equation,” Physics Letters A, vol. 336, no. 2-3, pp. 117–125, 2005. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  3. Z. Feng, “Comment on "On the extended applications of homogeneous balance method",” Applied Mathematics and Computation, vol. 158, no. 2, pp. 593–596, 2004. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  4. X. Q. Liu, H. L. Chen, and Y. Q. Lü, “Explicit solutions of the generalized KdV equations with higher order nonlinearity,” Applied Mathematics and Computation, vol. 171, no. 1, pp. 315–319, 2005. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  5. C. Wang, Z. Dai, and L. Liang, “Exact three-wave solution for higher dimensional KdV-type equation,” Applied Mathematics and Computation, vol. 216, no. 2, pp. 501–505, 2010. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  6. Z. Dai, S. Lin, H. Fu, and X. Zeng, “Exact three-wave solutions for the KP equation,” Applied Mathematics and Computation, vol. 216, no. 5, pp. 1599–1604, 2010. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  7. Z. Li and Z. Dai, “Exact periodic cross-kink wave solutions and breather type of two-solitary wave solutions for the (3+1)-dimensional potential-YTSF equation,” Computers and Mathematics with Applications, vol. 61, no. 8, pp. 1939–1945, 2011. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  8. H. Y. Ruan, “Interactions between two-periodic solitons in the (2+1)-dimensional Sawada-Kotera equations,” Acta Physica Sinica, vol. 53, no. 6, pp. 1618–1622, 2004.
  9. H. M. Fu and Z. D. Dai, “Periodic soliton wave solutions for two-dimension S-K equation,” Journal of Xuzhou Normal University, vol. 27, no. 4, pp. 20–22, 2009. View at Zentralblatt MATH
  10. Z. Y. Wang and H. L. Lv, “Travelling wave solutions of (2+1)-dimensional Sawada-Kotera equation,” Journal of Liaocheng University, vol. 23, no. 4, 2010.
  11. W. X. Ma and E. Fan, “Linear superposition principle applying to Hirota bilinear equations,” Computers and Mathematics with Applications, vol. 61, no. 4, pp. 950–959, 2011. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  12. Z. Dai, J. Huang, M. Jiang, and S. Wang, “Homoclinic orbits and periodic solitons for Boussinesq equation with even constraint,” Chaos, Solitons and Fractals, vol. 26, no. 4, pp. 1189–1194, 2005. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  13. Z. H. Xu, D. Q. Xian, and H. L. Chen, “New periodic solitary-wave solutions for the Benjiamin Ono equation,” Applied Mathematics and Computation, vol. 215, no. 12, pp. 4439–4442, 2010. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  14. Z. Dai, S. Li, Q. Dai, and J. Huang, “Singular periodic soliton solutions and resonance for the Kadomtsev-Petviashvili equation,” Chaos, Solitons and Fractals, vol. 34, no. 4, pp. 1148–1153, 2007. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  15. J. H. He, “Asymptotic methods for solitary solutions and compactons,” Abstract and Applied Analysis, vol. 2012, Article ID 916793, 130 pages, 2012. View at Publisher · View at Google Scholar