Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9509545 | Journal of Computational and Applied Mathematics | 2005 | 11 Pages |
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
Y.N. Kyrychko, M.V. Bartuccelli, K.B. Blyuss,