Stability of solitary waves for a rod equation
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Publication:1878274
DOI10.1016/j.chaos.2003.12.030zbMath1046.35094OpenAlexW2050784102MaRDI QIDQ1878274
Publication date: 19 August 2004
Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.chaos.2003.12.030
Stability in context of PDEs (35B35) Stability of dynamical problems in solid mechanics (74H55) Soliton equations (35Q51) Solitary waves in solid mechanics (74J35)
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Cites Work
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- Stability theory of solitary waves in the presence of symmetry. I
- Geometry and curvature of diffeomorphism groups with \(H^1\) metric and mean hydrodynamics
- Wave breaking for nonlinear nonlocal shallow water equations
- Model equations for nonlinear dispersive waves in a compressible Mooney-Rivlin rod
- Wave breaking for a periodic shallow water equation.
- Breakdown of a shallow water equation
- Well-posedness and blow-up solutions for an integrable nonlinearly dispersive model wave equation
- Nonlocal variational problems arising in long wave propagatioN
- On the weak solutions to a shallow water equation
- Instability of a class of dispersive solitary waves
- Stability of peakons
- An integrable shallow water equation with peaked solitons
- ON THE UNIQUENESS AND LARGE TIME BEHAVIOR OF THE WEAK SOLUTIONS TO A SHALLOW WATER EQUATION
- Solitary shock waves and other travelling waves in a general compressible hyperelastic rod
- Model equations for long waves in nonlinear dispersive systems
