PL EN


Preferences help
enabled [disable] Abstract
Number of results
2006 | 110 | 1 | 3-9
Article title

The Variable Separation Method and Exact Jacobi Elliptic Function Solutions for the Nizhnik-Novikov-Veselov Equation

Authors
Content
Title variants
Languages of publication
EN
Abstracts
EN
Based on the singular structure analysis, the variable separation method is proposed for the Nizhnik-Novikov-Veselov equation to obtain a general functional separation solution containing three arbitrary functions. Choosing these arbitrary functions to be the Jacobi elliptic functions, a diversity of elliptic function solutions may be obtained for the equation of interest. The interaction property of the waves is numerically studied. The long wave limit gives the new type of localized coherent structures.
Keywords
EN
Year
Volume
110
Issue
1
Pages
3-9
Physical description
Dates
published
2006-07
received
2005-10-10
(unknown)
2006-01-31
References
  • 1. W. Miller, Jr., in: Symmetries and Nonlinear Phenomena, Eds. D. Levi, P. Winternitz, World Scientific, London 1989, p. 188
  • 2. Y.-Z. Peng, Acta Phys. Pol. A, 103, 417, 2003; 105, 417, 2004; 108, 421, 2005
  • 3. E.G. Kalnins, W. Miller, J. Math. Phys., 26, 1560, 1985
  • 4. O.V. Kaptsov, Nonlinear Anal., 19, 753, 1992
  • 5. W. Miller, Jr., L.A. Rubel, J. Phys. A, 26, 1901, 1992
  • 6. R.Z. Zhdanov, J. Phys. A, 27, L291, 1994
  • 7. E. Pucci, G. Saccomandi, Physica D, 139, 28, 2000
  • 8. C.Z. Qu, S.L. Zhang, R.C. Liu, Physica D, 144, 97, 2000
  • 9. L.P. Nizhnik, Sov. Phys. Dokl., 25, 706, 1980
  • 10. S.P. Novikov, A.P. Veselov, Physica D, 18, 267, 1986
  • 11. M. Boiti, P.J. Leon, M. Manna, F. Pempinelli, Inverse Problems, 2, 271, 1986
  • 12. R. Radha, M. Lakshmanan, J. Math. Phys., 35, 4746, 1994
  • 13. R. Conte, Lect. Notes Phys., 632, 1, 2003
  • 14. H.C. Hu, S.Y. Lou, Q.P. Liu, arXiv: nlin. SI/0210012 v1 7 Oct 2002
  • 15. M. Abramowitz, I.A. Stegun, Handbook of Mathematical Functions, Dover, New York 1972
Document Type
Publication order reference
YADDA identifier
bwmeta1.element.bwnjournal-article-appv110n101kz
Identifiers
JavaScript is turned off in your web browser. Turn it on to take full advantage of this site, then refresh the page.