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Zbl 1115.74339
Constantin, Adrian; Strauss, Walter A.
Stability of a class of solitary waves in compressible elastic rods. (English)
[J] Phys. Lett., A 270, No. 3-4, 140-148 (2000). ISSN 0375-9601

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 2000:
*74J35 Solitary waves
35B35 Stability of solutions of PDE
35Q51 Solitons
74J30 Nonlinear waves
74K10 Rods (beams, columns, shafts, arches, rings, etc.)

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