Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
756055 | Communications in Nonlinear Science and Numerical Simulation | 2011 | 7 Pages |
With the consideration on the artery as a thin walled prestressed elastic tube with variable radius, a variable-coefficient modified Kortweg-de Vries (vc-mKdV) equation is obtained by the long wave approximation for the blood which is assumed as the incompressible non-viscous fluid. In the present paper, we firstly investigate the Painlevé property of the vc-mKdV equation. Furthermore, with the Ablowitz-Kaup-Newell-Segur procedure and symbolic computation, the Lax pair of the vc-mKdV equation is constructed, by virtue of which we construct the Darboux transformation and a new soliton solution. Finally, the features of the new solution are discussed to illustrate the influences of the constant and variable coefficients in the solitonic propagation.