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Stability of a class of solitary waves in compressible elastic rods. (English) Zbl 1115.74339
Summary: We prove that the solitary waves of a model for nonlinear dispersive waves in cylindrical compressible hyperelastic rods are orbitally stable. This establishes that the shape of the wave is stable.

MSC:
74J35Solitary waves (solid mechanics)
35B35Stability of solutions of PDE
35Q51Soliton-like equations
74J30Nonlinear waves (solid mechanics)
74K10Rods (beams, columns, shafts, arches, rings, etc.) in solid mechanics
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References:
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