Exact solitary waves of the Korteveg - de Vries - Burgers equation

Preprint English OPEN
Kudryashov, N. A.;
(2004)
  • Subject: Nonlinear Sciences - Pattern Formation and Solitons | Nonlinear Sciences - Exactly Solvable and Integrable Systems
    arxiv: Mathematics::Analysis of PDEs | Nonlinear Sciences::Pattern Formation and Solitons | Nonlinear Sciences::Exactly Solvable and Integrable Systems

New approach is presented to search exact solutions of nonlinear differential equations. This method is used to look for exact solutions of the Korteveg -- de Vries -- Burgers equation. New exact solitary waves of the Korteveg -- de Vries -- Burgers equation are found.
  • References (17)
    17 references, page 1 of 2

    [1] C.S. Gardner, J.M. Greene, M.D. Kruskal and R.R. Miura, Phys. Rev. Lett., 19 (1967) 1095 - 1097

    [2] R. Hirota, Phys. Rev. Lett., 27 (1971) 1192 - 1194

    [3] J. Weiss, M. Tabor, G. Carnevalle, J. Math. Phys. 24, 1983, 522-526

    [4] Kudryashov N.A., 1988, Journal of Applied Mathematics and Mekhanics, 52, 361-365

    [5] Conte R. and Musette M., J. Phys. A.: Math. Gen. 22, 1989, 169-177

    [6] Musette M. and Conte R., Physica D, 181, 2003,70-79

    [7] Kudryashov N.A., Phys Lett. A., 147, 1990, 287-291

    [8] S.Y. Lou, G. Huang, H. Ruan, J. Phys. A.: Math. Gen., 24, 1991, 587-590

    [9] Fan E. G., Phys Lett. A., 227, 2000, 212-218

    [10] Elwakil S.A., Ellabany S.K., Zahran M.A. et al., 2002, Phys. Lett. A., 299, 179 -188

  • Metrics
Share - Bookmark