Zuntao Fu, Liu Shi-Kuo, Shida Liu
Abstract
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In this paper, two transformations are introduced to solve sinh-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 sinh-Gordon equation.
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In this paper, two transformations are introduced to solve sinh-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 sinh-Gordon equation.
Key concepts: Elliptic function, Hyperbolic function, Jacobian matrix and determinant, Elliptic curve, Quarter period, Jacobi elliptic functions, Elliptic integral, Elliptic partial differential equation