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.
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References
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.
Hirota, R. (1977) Nonlinear Partial Difference Equations. III. Discrete Sine-Gordon Equation, J. Phys. Soc. Jpn. 43, pp. 2079–2086.
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Ohta, Y. (2006). DISCRETIZATION OF A SINE-GORDON TYPE EQUATION. In: Faddeev, L., Van Moerbeke, P., Lambert, F. (eds) Bilinear Integrable Systems: From Classical to Quantum, Continuous to Discrete. NATO Science Series, vol 201. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-3503-6_20
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DOI: https://doi.org/10.1007/978-1-4020-3503-6_20
Publisher Name: Springer, Dordrecht
Print ISBN: 978-1-4020-3501-2
Online ISBN: 978-1-4020-3503-6
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