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MR1423001 (97m:58072) 58F05 (35Q51 35Q72 58F40 73D35)
Dichmann, D. J.; Maddocks, J. H.; Pego, R. L. Hamiltonian dynamics of an elastica and the stability of solitary waves. Arch. Rational Mech. Anal. 135 (1996), no. 4, 357--396.
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