Asymptotic properties of the differential equation h³(h″+h′)=1

Article type: Research Article

Authors: Asch, J.^; | Benguria, R.D. | Št'ovíček, P.

Affiliations: Centre de Physique Théorique, CNRS, Luminy, Case 907, Marseille cedex 9, France E‐mail: asch@cpt.univ‐mrs.fr | Facultad de Física, P.U. Católica de Chile, Casilla 306, Santiago 22, Chile | Department of Mathematics, Faculty of Nuclear Science, Czech Technical University, Trojanova 13, 120 00 Prague, Czech Republic

Note: [] Corresponding author.

Abstract: We derive the complete asymptotic series, as t→+∞, for a general solution h(t) of the nonlinear differential equation h3(h″+h′)=1. The equation originates from a physical model related to the Hall effect.

Journal: Asymptotic Analysis, vol. 41, no. 1, pp. 23-40, 2005