Variable coefficient modified KdV equation in fluid-filled elastic tubes with stenosis: solitary waves
From MaRDI portal
Publication:603471
DOI10.1016/J.CHAOS.2008.12.014zbMath1198.74018OpenAlexW2050897644MaRDI QIDQ603471
Publication date: 7 November 2010
Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.chaos.2008.12.014
Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Solitary waves for incompressible inviscid fluids (76B25) Biomechanical solid mechanics (74L15) Solitary waves in solid mechanics (74J35)
Related Items (16)
A generalized $(G'/G)$-expansion method for the loaded Korteweg—de Vries equation ⋮ A note on the progressive wave solution of the perturbed Korteweg-deVries equation with variable dissipation ⋮ Dissipative Mayer's waves in fluid-filled viscoelastic tubes ⋮ Modulated pressure waves in large elastic tubes ⋮ A novel outlook to the mKdV equation using the advantages of a mixed method ⋮ Integration of the Kaup-Boussinesq system with time-dependent coefficients ⋮ Unnamed Item ⋮ Swirling fluid flow in flexible, expandable elastic tubes: variational approach, reductions and integrability ⋮ Nonlinear excitations of blood flow in large vessels under thermal radiations and uniform magnetic field ⋮ Unnamed Item ⋮ Multisoliton and rational solutions for the extended fifth-order KdV equation in fluids with self-consistent sources ⋮ Painlevé property, Lax pair and Darboux transformation of the variable-coefficient modified Kortweg-de Vries model in fluid-filled elastic tubes ⋮ Research on nonlinear waves of blood flow in arterial vessels ⋮ Modeling and analysis of fractional neutral disturbance waves in arterial vessels ⋮ The first integral method for two fractional non-linear biological models ⋮ Exact traveling wave solutions of the loaded modified Korteweg-de Vries equation
Cites Work
- The effect of a bump on wave propagation in a fluid-filled elastic tube
- Waves in nonlinear fluid filled tubes
- Wave propagation through a viscous fluid contained in a prestressed thin elastic tube
- Weakly nonlinear waves in a fluid with variable viscosity contained in a prestressed thin elastic tube
- Forced Korteweg-de Vries-Burgers equation in an elastic tube filled with a variable viscosity fluid
- The Fluid Mechanics of Large Blood Vessels
- A non-linear equation incorporating damping and dispersion
- A nonlinear analysis of pulsatile flow in arteries
This page was built for publication: Variable coefficient modified KdV equation in fluid-filled elastic tubes with stenosis: solitary waves
