Tuesday, December 18, 2012

1212.3636 (Stefan C. Mancas et al.)

Integrable dissipative nonlinear second order differential equations via
factorizations and Abel equations
   [PDF]

Stefan C. Mancas, Haret C. Rosu
We emphasize two connections, one well known and another less known, between the dissipative nonlinear second order differential equations and the Abel equations of the second kind having only cubic and quadratic terms. Then, employing an old integrability criterion due to Chiellini, we introduce the corresponding solvable dissipative equations. For illustration, we present the cases of some integrable dissipative Fisher, sine-Gordon, and Burgers-Huxley type equations which are obtained in this way
View original: http://arxiv.org/abs/1212.3636

No comments:

Post a Comment