2014/01/01 by Leonardo Mondaini · 1 citation
Mathematics · Physics and Astronomy · #Amplitude #Elliptic function #Elliptic integral #Field (mathematics) #Function (biology) #Geometry #Inverse #Jacobi elliptic functions #Mathematical analysis #Mathematical physics #Mathematics #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #Nonlinear system #Physics #Pure mathematics #Quantum chaos and dynamical systems #Quantum mechanics #Sine #Soliton #hep-th #sine-Gordon equation
paper · pdf · doi:10.4236/jamp.2014.213141
published as Journal of Applied Mathematics and Physics, 2 (2014) 1202-1206 · To appear in J. Appl. Math. Phys., 7 pages
openalex publication_date 2014/01/01 · arxiv created 2014/11/20 · arxiv updated 2014/12/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.