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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    3,632 Downloads   4,030 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.

Conflicts of Interest

The authors declare no conflicts of interest.

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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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