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@inproceedings{Gardner2000LargeSP, title={Large Stable Pulse Solutions in Reaction-di ff usion Equations}, author={Robert A. Gardner and Tasso J. Kaper}, year={2000} }

- Published 2000

In this paper we study the existence and stability of asymptotically large stationary multi-pulse solutions in a family of singularly perturbed reaction-diffusion equations. This family includes the generalized Gierer-Meinhardt equation. The existence of N-pulse homoclinic orbits (N ≥ 1) is established by the methods of geometric singular perturbation theory. A theory, called the NLEP (=NonLocal Eigenvalue Problem) approach, is developed, by which the stability of these patterns can be studied… CONTINUE READING

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