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http://ipicyt.repositorioinstitucional.mx/jspui/handle/1010/948| Supersymmetric pairing of kinks for polynomial nonlinearities | |
| HARET CODRATIAN ROSU OCTAVIO CORNEJO PEREZ | |
| Acceso Abierto | |
| Atribución-NoComercial-SinDerivadas | |
| https://doi.org/10.1103/PhysRevE.71.046607 | |
| Mathematical Physics | |
| "We show how one can obtain kink solutions of ordinary differential equations with polynomial nonlinearities by an efficient factorization procedure directly related to the factorization of their nonlinear polynomial part. We focus on reaction-diffusion equations in the traveling frame and damped-anharmonic-oscillator equations. We also report an interesting pairing of the kink solutions, a result obtained by reversing the factorization brackets in the supersymmetric quantum-mechanical style. In this way, one gets ordinary differential equations with a different polynomial nonlinearity possessing kink solutions of different width but propagating at the same velocity as the kinks of the original equation. This pairing of kinks could have many applications. We illustrate the mathematical procedure with several important cases, among which are the generalized Fisher equation, the FitzHugh-Nagumo equation, and the polymerization fronts of microtubules." | |
| American Physical Society | |
| 2005 | |
| Artículo | |
| Inglés | |
| Público en general | |
| H. C. Rosu and O. Cornejo-Pérez Phys. Rev. E 71, 046607 (April 2005) | |
| FÍSICA | |
| Versión publicada | |
| publishedVersion - Versión publicada | |
| Aparece en las colecciones: | Publicaciones Científicas Nanociencias y Materiales |
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| Fichero | Descripción | Tamaño | Formato | |
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| PhysRevE71(2005)046607.pdf | 150.48 kB | Adobe PDF | Visualizar/Abrir |