Geodesic
Liouville correspondences between multicomponent integrable hierarchies
Teoretičeskaâ i matematičeskaâ fizika, Tome 204 (2020) no. 1, pp. 10-45

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We establish Liouville correspondences for the integrable two-component Camassa–Holm hierarchy, the two-component Novikov $($Geng–Xue$)$ hierarchy, and the two-component dual dispersive water wave hierarchy using the related Liouville transformations. This extends previous results for scalar Camassa–Holm and KdV hierarchies and Novikov and Sawada–Kotera hierarchies to the multicomponent case.
Mots-clés : Liouville transformation
Keywords: bi-Hamiltonian structure, two-component Camassa–Holm system, two-component Novikov system, two-component dual dispersive water wave system. 
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     author = {Jing Kang and X. Liu and P. J. Olver and C. Qu},
     title = {Liouville correspondences between multicomponent integrable hierarchies},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {10--45},
     publisher = {mathdoc},
     volume = {204},
     number = {1},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2020_204_1_a1/}
}
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Jing Kang; X. Liu; P. J. Olver; C. Qu. Liouville correspondences between multicomponent integrable hierarchies. Teoretičeskaâ i matematičeskaâ fizika, Tome 204 (2020) no. 1, pp. 10-45. http://geodesic.mathdoc.fr/item/TMF_2020_204_1_a1/