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Stability of solitary waves for a rod equation. (English) Zbl 1046.35094
Summary: We consider a new rod equation derived recently by H.-H. Dai [Acta Mech. 127, No. 1–4, 193–207 (1998; Zbl 0910.73036)] for a compressible hyperelastic material. We prove that the smooth solitary waves to this rod equation are orbital stable.

35Q51 Soliton equations
35B35 Stability in context of PDEs
74H55 Stability of dynamical problems in solid mechanics
74J35 Solitary waves in solid mechanics
Full Text: DOI
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