FUZun-Tao, Zun-Ta, Yao, Zhenhua, Liu, Shi-Kuo, Shida
Abstract
In this paper, four transformations are introduced to solve single sine-Gordon equation by using the knowledge of elliptic equation and Jacobian elliptic functions. It is shown that different transformations are required in order to obtain more kinds of solutions to the single sine-Gordon equation.
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In this paper, four transformations are introduced to solve single sine-Gordon equation by using the knowledge of elliptic equation and Jacobian elliptic functions. It is shown that different transformations are required in order to obtain more kinds of solutions to the single sine-Gordon equation.
Key concepts: Elliptic function, Mathematics, sine-Gordon equation, Jacobian matrix and determinant, Elliptic curve, Sine, Quarter period, Mathematical analysis