A direct method for solving the generalized sine-Gordon equation II

@article{Matsuno2010ADM,
  title={A direct method for solving the generalized sine-Gordon equation II},
  author={Yoshimasa Matsuno},
  journal={arXiv: Exactly Solvable and Integrable Systems},
  year={2010}
}
  • Y. Matsuno
  • Published 9 July 2010
  • Physics, Mathematics
  • arXiv: Exactly Solvable and Integrable Systems
The generalized sine-Gordon (sG) equation $u_{tx}=(1+\nu\partial_x^2)\sin\,u$ was derived as an integrable generalization of the sG equation. In a previous paper (Matsuno Y 2010 J. Phys. A: Math. Theor. {\bf 43} 105204) which is referred to as I, we developed a systematic method for solving the generalized sG equation with $\nu=-1$. Here, we address the equation with $\nu=1$. By solving the equation analytically, we find that the structure of solutions differs substantially from that of the… Expand

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