Article ID Journal Published Year Pages File Type
9509545 Journal of Computational and Applied Mathematics 2005 11 Pages PDF
Abstract
In this paper the extended Burgers-Huxley equation with the fourth-order derivative is considered. First, the convergence to the uniform steady state is proved, which means the solution of the equation with positive initial data will remain positive for time t sufficiently large. Then, the persistence of the travelling wave solution for the extended equation on the unbounded domain is investigated. We have proved that this solution will persist under small perturbation of the equation.
Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
Authors
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