65
Views
0
CrossRef citations to date
0
Altmetric
Original Articles

The Bäcklund and the Galilei Invariant Transformations Constructed by Similarity Variables for Soliton Equations

Pages 398-404 | Published online: 21 Jan 2013

References

  • Ames , W.F. 1965 . Nonlinear Partial Differential Equations in Engineering , Vol. I , New York : Academic Press . Vol. II, 1972
  • Bluman , G.M. and Cole , J.D. 1974 . Similarity Methods for Differential Equations , Berlin : Springer .
  • Olver , P.J. 1986 . Applications of Lie Groups to Differential Equations , New York : Springer .
  • Barouch , E. , McCoy , B.M. and Wu , T.T. 1973 . Phys. Rev. Lett. , 31 : 1409
  • Ablowitz , M.J. and Segur , H. 1977 . Phys. Rev. Lett. , 38 : 1103
  • Weiss , J. , Tabor , M. and Carnevale , G. 1983 . J. Math. Phys. , 24 : 522
  • Tajiri , M. and Kawamoto , S. 1982 . J. Phys. Soc. Jpn. , 51 : 1678
  • Tajiri , M. , Nishitani , T. and Kawamoto , S. 1982 . J. Phys. Soc. Jpn. , 51 : 2350
  • Kawamoto , S. 1983 . J. Phys. Soc. Jpn. , 52 : 4059
  • Kawamoto , S. 1985 . J. Phys. Soc. Jpn. , 54 : 2055
  • Fushchych , W.I. and Nikitin , A.G. 1987 . Symmetries of Maxwell’s Equations , D. Reidel Publishing Company .
  • Fushchych , W. , Shtelen , W. and Serov , N. 1993 . Symmetry Analysis and Exact Solutions of Equations of Nonlinear Mathematical Physics , Dordrecht : Kluwer Academic Publishers .
  • Hasegawa , A. and Kodama , Y. 1995 . Solitons in Optical Communications , New York : Oxford University Press .

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.