English

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

Mathematical Physics 2012-10-08 v3 math.MP

Abstract

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.

Keywords

Cite

@article{arxiv.1208.2798,
  title  = {Modular and Landen transformations between finite solutions of Sine-Gordon Equation with phase N=1},
  author = {Nan-Hong Kuo and C. D. Hu},
  journal= {arXiv preprint arXiv:1208.2798},
  year   = {2012}
}

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12 pages, 0 figures