2005•Zeitschrift für Naturforschung AOpen access

Exact Jacobian Elliptic Function Solutions To The Double Sine-Gordon Equation

Zuntao Fu, Shikuo Liu, Shida Liu

Abstract

In this paper, two transformations are introduced to solve the double sine-Gordon equation by using knowledge of the elliptic equation and Jacobian elliptic functions. It is shown that different transformations can be applied to obtain more kinds of solutions to the double sine-Gordon equation. PACS: 03.65.Ge

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Key concepts: Elliptic function, Jacobian matrix and determinant, sine-Gordon equation, Mathematics, Jacobi elliptic functions, Elliptic curve, Quarter period, Sine