Modulation of nonlinear waves near the marginal state of instability in fluid-filled elastic tubes.

DOI10.1016/S0096-3003(02)00958-XzbMath1035.76018OpenAlexW2027009023MaRDI QIDQ1427901

Hilmi Demiray, İlkay Bakırtaş

Publication date: 14 March 2004

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0096-3003(02)00958-x

zbMATH Keywords

solitary wavesgeneralized nonlinear Schrödinger equationoscillatory flowreductive perturbation methodamplitude modulation

Mathematics Subject Classification ID

Nonlinear effects in hydrodynamic stability (76E30) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) NLS equations (nonlinear Schrödinger equations) (35Q55)

Cites Work

• Exact solution to higher-order nonlinear equations through gauge transformation
• Wave propagation in fluid filled nonlinear viscoelastic tubes
• A mathematical analysis of nonlinear waves in a fluid filled visco- elastic tube
• Amplitude modulation of nonlinear waves in a thick elastic tube filled with an inviscid fluid
• Modulation of waves near the marginal state of instability in fluid-filled distensible tubes

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