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arxiv: 1208.2798 · v3 · pith:L7FRKEAXnew · submitted 2012-08-14 · 🧮 math-ph · math.MP

Modular and Landen transformations between finite solutions of Sine-Gordon Equation with phase N=1

classification 🧮 math-ph math.MP
keywords solutionsequationfinitephasesine-gordonlandenmodulartransformations
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Among finite solutions of Sine-Gordon Equation with in phase N=1, we find Modular and Landen transformation between \theta representation and directly integrated solutions of breather and kink. Because of these transformations, we can say we unified the finite solutions of sine-Gordon equation with phase N=1.

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