A note on the three dimensional sine--Gordon equation

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Shariati, Ahmad;
  • Subject: High Energy Physics - Theory
    arxiv: Nonlinear Sciences::Exactly Solvable and Integrable Systems

Using a simple ansatz for the solutions of the three dimensional generalization of the sine--Gordon and Toda model introduced by Konopelchenko and Rogers, a class of solutions is found by elementary methods. It is also shown that these equations are not evolution equati... View more
  • References (6)

    [1] Ablowitz M. J. and P. A. Clarkson, “Solitons, nonlinear evolution equations and inverse scattering”, Cambridge University Press, Cambridge, 1991.

    [2] Konopelchenko B. G. and C. Rogers, Phys. Lett. A 158: 391 (1991)

    [3] Konopelchenko B. G. and C. Rogers, J. Math. Phys. 34: 214 (1993)

    [4] Konopelchenko B. G., W. Schief and C. Rogers, Phys. Lett. A 172: 39 (1992)

    [5] Dubrovsky V. G. and B. G. Konopelchenko, Inverse Problems 9:391 (1993)

    [6] Ratha R. and M. Lakshmanan, J. Phys. A 29: 1551 (1996)

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