共 34 条
[1]
Arnold V(1966)Sur la géométrie différentielle des groupes de Lie de dimension infinie et ses applications à l’hydrodynamique des fluides parfaits Ann. Inst. Fourier (Grenoble) 16 319-361
[2]
Bauer M(2015)Local and global well-posedness of the fractional order EPDiff equation on J. Differ. Equ. 258 2010-2053
[3]
Escher J(1993)An integrable shallow water equation with peaked solitons Phys. Rev. Lett. 71 1661-1664
[4]
Kolev B(2014)Euler–Poincaré equations on semi-direct products Monatsh. Math. 179 491-507
[5]
Camassa R(2016)Euler–Poincaré–Arnold equations on semi-direct products II Discrete Contin. Dyn. Syst. 36 5993-6022
[6]
Holm DD(2000)On the blow-up rate and the blow-up set of breaking waves for a shallow water equation Math. Z. 233 75-91
[7]
Cismas EC(2009)The hydrodynamical relevance of the Camassa–Holm and Degasperis–Procesi equations Arch. Ration. Mech. Anal. 192 165-186
[8]
Cismas EC(2014)Right-invariant Sobolev metrics of fractional order on the diffeomorphisms group of the circle J. Geom. Mech. 6 335-372
[9]
Constantin A(2012)Geometrical methods for equations of hydrodynamical type J. Nonlinear Math. Phys. 19 161-178
[10]
Escher J(1982)The inverse function theorem of Nash and Moser Bull. Am. Math. Soc. 7 65-222