Results 81 to 90 of about 1,242 (111)

R-matrix for a geodesic flow associated with a new integrable peakon equation

open access: yes, 2016
We use the r-matrix formulation to show the integrability of geodesic flow on an $N$-dimensional space with coordinates $q_k$, with $k=1,...,N$, equipped with the co-metric $g^{ij}=e^{-|q_i-q_j|}\big(2-e^{-|q_i-q_j|}\big)$.
Holm, Darryl D., Qiao, Zhijun
core  

An extension of heat hierarchy [PDF]

open access: yes, 2017
We propose a formally completely integrable extension of heat hierarchy based on the space of symmetries isomorphic to the Weyl algebra $\mathcal{A}_1$. The extended heat hierarchy will be the basic model for the analysis of the extension of KP hierarchy,
Wang, Joe S.
core  

Recursion operator for the IGSG equation

open access: yes, 2006
In this paper we find the inverse and direct recursion operator for the intrinsic generalized sine-Gordon equation in any number $n > 2$ of independent variables.
Marvan, M., PoboĊ™il, M.
core  

Fredholm determinants

open access: yesOpen Mathematics, 2011
McKean Henry
doaj   +1 more source

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