Multitransition kinks and pulses for fourth order equations with a bistable nonlinearity

Bonheure, Denis
(2004) Annales de l’Institut Henri Poincaré - C - Non Linear Analysis — Vol. 21, n° 3, p. 319-340 (2004)

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  • Bonheure, DenisUCLouvain
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Abstract
We study the existence of stationary solutions of a class of diffusion equations related to the so-called extended Fisher-Kolmogorov equation and the Swift-Hohenberg equation. We prove the existence of multitransition kinks and pulses. These solutions are obtained as local minima of the associated functional. For the Swift-Hohenberg equation, our result partially proves a numerical conjecture. (C) 2003 Elsevier SAS. All rights reserved.
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Bonheure, D. (2004). Multitransition kinks and pulses for fourth order equations with a bistable nonlinearity. Annales de l’Institut Henri Poincaré - C - Non Linear Analysis, 21(3), 319-340. https://doi.org/10.1016/j.anihpc.2003.03.001 (Original work published 2004)