Bulg. J. Phys. vol.19 no.1-2 (1992), pp. 048-056

Analysis of the Standing-Wave Solutions of the One-Dimensional Sine-Gordon Equation

N. Martinov, N. Vitanov
Faculty of Physics, University of Sofia, 5, J. Bourchier Blvd, Sofia 1126, Bulgaria
Abstract. Solutions of the one-dimensional sine-Gordon equation which consists of a function of the product of two real Jacobi elliptic functions are discussed. In this case the studied equation is reduced to a system, which consists of three algebraic equations. Due to this system seven solutions were found. The solutions were studied and classified into four classes — A, B, C, D. Class D has not been studied yet.

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