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The Rise of Solitons in Sine-Gordon Field Theory: From Jacobi Amplitude to Gudermannian Function

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DOI: 10.4236/jamp.2014.213141    3,638 Downloads   4,038 Views Citations
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ABSTRACT

We show how the famous soliton solution of the classical sine-Gordon field theory in (1 + 1)-dimensions may be obtained as a particular case of a solution expressed in terms of the Jacobi amplitude, which is the inverse function of the incomplete elliptic integral of the first kind.

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Mondaini, L. (2014) The Rise of Solitons in Sine-Gordon Field Theory: From Jacobi Amplitude to Gudermannian Function. Journal of Applied Mathematics and Physics, 2, 1202-1206. doi: 10.4236/jamp.2014.213141.

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