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Zbl 1179.37092
Hone, Andrew N.W.; Lundmark, Hans; Szmigielski, Jacek
Explicit multipeakon solutions of Novikov's cubically nonlinear integrable Camassa-Holm type equation. (English)
[J] Dyn. Partial Differ. Equ. 6, No. 3, 253-289 (2009). ISSN 1548-159X

The main purpose in this paper is to explicitly compute the multipeakon solutions of new integrable PDE $$ u_{t}-u_{xxt}+4u^{2}u_{x}=3uu_{x}u_{xx}+u^{2}u_{xxx}$$ which is of the Camassa-Holm form $$ u_{t}-u_{xxt}=F(u,u_{x},u_{xx},\dots)$$ but has cubically nonlinear terms instead of quadratic.
[Rakib Efendiev (Baku)]

MSC 2000:: *37K15 Integration by inverse spectral and scattering methods

Keywords: peakons; cubic string; Novikov's equation; distributional Lax pair

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