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DISCRETIZATION OF A SINE-GORDON TYPE EQUATION

Conference paper
Part of the NATO Science Series book series (NAII, volume 201)

Abstract

An integrable modification of the double sine-Gordon equation is discretized by using Hirota’s bilinear theory. The soliton solution is given in terms of the discrete Gram type determinant and the bilinear equations are reduced to the Jacobi formula for determinant.

Keywords

Soliton Solution Travel Wave Solution Bilinear Equation Partial Difference Equation Double Kink 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1.
    Bullough, R. K., Caudrey, P. J., and Gibbs, H. M. (1980) The double sine-Gordon equations: A physically applicable system of equations, in: Solitons, ed. R. K. Bullough and P. J. Caudrey, Springer-Verlag, Berlin, Heidelberg, pp. 107–141.Google Scholar
  2. 2.
    Hirota, R. (1977) Nonlinear Partial Difference Equations. III. Discrete Sine-Gordon Equation, J. Phys. Soc. Jpn. 43, pp. 2079–2086.CrossRefADSMathSciNetGoogle Scholar

Copyright information

© Springer 2006

Authors and Affiliations

  • Y. Ohta
    • 1
  1. 1.Information Engineering Graduate School of EngineeringHiroshima UniversityHigashi-HiroshimaJapan

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