DISCRETIZATION OF A SINE-GORDON TYPE EQUATION
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.
KeywordsSoliton Sine Lution
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- 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