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
go backFaculty 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.