Lie symmetry analysis and exact solutions for a variable coefficient Gardner equation arising in arterial mechanics

Details Lie symmetry analysis and exact solutions for a variable coefficient Gardner equation arising in arterial mechanics Lie symmetry analysis and exact solutions for a variable coefficient Gardner equation arising in arterial mechanics

2010-02-20

arxiv.org/abs/1002.3852v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

14 pages, 3 figures

Scientific paper

In this paper, a variable-coefficient Gardner equation is considered. By
using the classical symmetry analysis method symmetries for this equation are
obtained. Then, the generalized Jacobi elliptic function expansion method is
used to solve the reduced ODE. Some new exact solutions for the considered PDE
are obtained.

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