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B\"acklund transformation for the Krichever-Novikov equation

solv-int 2014-08-27 v1 Exactly Solvable and Integrable Systems

Authors: V. E. Adler

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Abstract

The B\"acklund transformation and its nonlinear superposition principle are presented for the Krichever-Novikov equation $u_t= u_{xxx} - {3/(2u_x)} (u^2_{xx} - r(u)) + cu_x, r^{(5)}=0$ .

Keywords

Bäcklund transformation Krichever-Novikov equation nonlinear superposition principle

Cite

@article{arxiv.solv-int/9707015,
  title  = {B\"acklund transformation for the Krichever-Novikov equation},
  author = {V. E. Adler},
  journal= {arXiv preprint arXiv:solv-int/9707015},
  year   = {2014}
}

Comments

3p (8K), LaTeX, submitted to IMRN