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Integrable dissipative nonlinear second order differential equations via factorizations and Abel equations
HARET CODRATIAN ROSU
Acceso Abierto
Atribución-NoComercial-SinDerivadas
https://doi.org/10.1016/j.physleta.2013.04.024
Abel equations
Integrability
Dissipative nonlinear equations
"We emphasize two connections, one well known and another less known, between the dissipative nonlinear second order differential equations and the Abel equations which in its first kind form have only cubic and quadratic terms. Then, employing an old integrability criterion due to Chiellini, we introduce the corresponding integrable dissipative equations. For illustration, we present the cases of some integrable dissipative Fisher, nonlinear pendulum, and Burgers-Huxley type equations which are obtained in this way and can be of interest in applications. We also show how to obtain Abel solutions directly from the factorization of second-order nonlinear equations"
Elsevier
2013
Artículo
Inglés
Público en general
Stefan C. Mancas, Haret C. Rosu, Integrable dissipative nonlinear second order differential equations via factorizations and Abel equations, Physics Letters A, Volume 377, Issue 21, 2013, Pages 1434-1438, ISSN 0375-9601, http://dx.doi.org/10.1016/j.physleta.2013.04.024.
CIENCIAS FÍSICO MATEMÁTICAS Y CIENCIAS DE LA TIERRA
Versión aceptada
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Aparece en las colecciones: Publicaciones Científicas Nanociencias y Materiales

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