Advanced search
Publication Cover
International Journal of Computer Mathematics Volume 87, 2010 - Issue 3
Submit an article Journal homepage
85
Views
4
CrossRef citations to date
0
Altmetric
Section B

New exact solutions of the (n+1)-dimensional sine-Gordon equation using double elliptic equation method

Meng Qing Department of Physics, Honghe University, Mengzi, Yunnan, People's Republic of China
,
He Bin Department of Mathematics, Honghe University, Mengzi, Yunnan, People's Republic of ChinaCorrespondence[email protected] [email protected]
,
Rui Weiguo Department of Mathematics, Honghe University, Mengzi, Yunnan, People's Republic of China
&
Long Yao Department of Mathematics, Honghe University, Mengzi, Yunnan, People's Republic of China
Pages 591-606 | Received 25 Sep 2007, Accepted 12 Apr 2008, Published online: 26 Sep 2008

References

  • Hirota , R. 1971 . Exact solution of the Korteweg-de Vries equation for multiple collisions of solution . Phys. Rev. Lett. , 27 : 1192 – 1194 .
  • Fan , E. G. 2002 . Using symbolic computation to exactly solve a new coupled mKaV system . Phys. Lett. A , 299 : 46 – 48 .
  • Liu , S. K. , Fu , Z. T. , Liu , S. D. and Zhao , Q. 2001 . Jacobi elliptic function expansion method and periodic wave solutions of nonlinear wave equations . Phys. Lett. A , 289 : 69 – 74 .
  • Fu , Z. T. , Liu , S. K. , Liu , S. D. and Zhao , Q. 2001 . New Jacobi elliptic function expansion and new periodic solutions of nonlinear wave equations . Phys. Lett. A , 290 : 72 – 76 .
  • Parkes , E. J. , Duffy , B. R. and Abbott , P. C. 2002 . The Jacobi elliptic-function method for finding periodic-wave solutions to nonlinear evolution equations . Phys. Lett. A , 295 : 280 – 286 .
  • Wang , M. L. and Li , X. Z. 2005 . Applications of F-expansion to periodic wave solutions for a new Hamiltonian amplitude equation . Chaos, Solitons Fractals , 24 : 1257 – 1268 .
  • Wang , D. S. and Zhang , H. Q. 2005 . Further improved F-expansion method and new exact solutions of Konopelchenko-Dubrovsky equation . Chaos, Solitons Fractals , 25 : 601 – 610 .
  • Liu , J. B. and Yang , K. Q. 2004 . The extended F-expansion method and exact solutions of nonlinear PDE . Chaos, Solitons Fractals , 22 : 111 – 121 .
  • Li , X. Y. , Yang , S. and Wang , M. L. 2005 . The periodic wave solutions for the (3+1)-dimensional Klein-Gordon-Schrodinger equations . Chaos, Solitons Fractals , 25 : 629 – 636 .
  • He , B. , Meng , Q. , Long , Y. and Rui , W. G. 2007 . New exact solutions of the double sine-Gordon equation using symbolic computations . Appl. Math. Comput. , 186 : 1334 – 1346 .
  • Vitanov , N. K. 1996 . On travelling waves and double-periodic structures in two-dimensional sine-Gordon systems . J. Phys. A , 29 : 5195 – 5207 .
  • Vitanov , N. K. 1998 . Breather and soliton wave families for the sine-Gordon equation . Proc R Soc Lond A , 454 : 2409 – 2423 .
  • Li , J. B. and Li , M. 2005 . Bounded travelling wave solutions for the (n+1)-dimensional sine and sinh-Gordon equations . Chaos, Solitons Fractals , 25 : 1037 – 1047 .
  • Fu , Z. T. , Liu , S. D. and Liu , S. K. 2007 . Breather solutions and breather lattice solutions to the sine-Gordon equations . Phys. Scr. , 76 : 15 – 21 .
  • Wang , Q. 2006 . An application of the modified Adomian decomposition method for (n+1)-dimensional sine-Gordon field . Appl. Math. Comput. , 181 : 147 – 152 .
  • Chen , H. and Yin , H. 2007 . Double elliptic equation method and new exact solutions of the (n+1)-dimensional sinh-Gordon equation . J. Math. Phys , 48 : 013504-1 – 013504-7 .
  • Patrick , D. V. 1973 . Elliptic Function and Elliptic Curves , Cambridge : Cambridge University Press .
  • Chamdrasekharan , K. 1985 . Elliptic Functions , Berlin : Springer-Verlag .

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:

Order Reprints Request Corporate Permissions

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:

Request Academic Permissions

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.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.