Conditional stability of solitary waves propagating in elastic rods
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Publication:1905734
DOI10.1016/0167-2789(95)00219-7zbMath0899.73282OpenAlexW2018883461MaRDI QIDQ1905734
A. Yu. Belyaev, Andrej Il'ichev
Publication date: 16 January 1996
Published in: Physica D (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0167-2789(95)00219-7
Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Vibrations in dynamical problems in solid mechanics (74H45)
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Cites Work
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- Stability theory of solitary waves in the presence of symmetry. II
- Instability of nonlinear bound states
- Sufficient conditions for stability of solitary-wave solutions of model equations for long waves
- Stability theory of solitary waves in the presence of symmetry. I
- Stability of solitary waves in dispersive media described by a fifth- order evolution equation
- The stability of internal solitary waves
- Lyapunov stability of ground states of nonlinear dispersive evolution equations
- Stability and instability of solitary waves of Korteweg-de Vries type
- Existence and dynamic stability of solitary wave solutions of equations arising in long wave propagation
- On the stability theory of solitary waves