153
Views
48
CrossRef citations to date
0
Altmetric
Miscellany

Solitary waves for the generalized equal width (GEW) equation

&
Pages 445-455 | Accepted 05 Jul 2004, Published online: 25 Jan 2007

References

References

  • Kaya , D . 2004 . A numerical simulation of solitary-wave solutions of the generalized long-wave equation . Applied Mathematics and Computation , 149 ( 3 ) : 833 – 841 .
  • Kaya , D and El-Sayed , SM . 2003 . An application of the decomposition method for the generalized KdV and RLW equations . Chaos, Solitons and Fractals , 17 : 869 – 877 .
  • Gardner , LRT , Gardner , G and Geyikli , T . 1994 . The boundary forced MKdV equation . Journal of Computational Physics , 11 : 5 – 12 .
  • Raslan KR 1999 Numerical methods for partial differential equations PhD thesis, Al-Azhar University Cairo Egypt
  • Raslan , KR . 2004 . A computational method for the equal width equation . International Journal of Computer Mathematics , 81 ( 1 ) : 63 – 72 .
  • Zaki , SI . 2000 . A least-squares finite element scheme for the EW equation . Computational Methods in Applied Mechanics and Engineering , 189 : 587 – 594 .
  • Zaki , SI . Solitary waves induced by the boundary forced EW equation . Computational Methods in Applied Mechanics and Engineering , 190 4881 – 4887 .
  • Peregrine , DH . 1966 . Calculations of the development of an undular bore . Journal of Fluid Mechanics , 25 : 321 – 330 .
  • Peregrine , DH . 1967 . Long waves on a Beach . Journal of Fluid Mechanics , 27 : 815 – 827 .
  • Benjamin , TB , Bona , JL and Mahony , JJ . 1972 . Model equations for waves in nonlinear dispersive systems . Philosophical Transactions of the Royal Society of London , 227 : 47 – 48 .
  • Bona JL Pritchard WG Scott LR 1983 A comparison of solutions of two model equations for long waves In: Norman R. Lebovitz (Ed.) Fluid Dynamics in Astrophysics and Geophysics. Lectures in Applied Mathematics, pp. 235–267
  • Bona , JL , Pritchard , WG and Scott , LR . 1981 . An evaluation for water waves . Philosophical Transactions of the Royal Society of London , A302 : 457 – 510 .
  • Gardner , LRT and Gardner , GA . 1992 . Solitary waves of the equal width wave equation . Journal of Computational Physics , 101 : 218 – 223 .
  • Zaki , SI . 2000 . Solitary wave interactions for the modified equal width equation . Computer Physics Communications , 126 : 219 – 231 .

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.