Boundary Value Problem for $r^2 d^2 f/dr^2 + f = f^3$ (II): Connection Formula
| dc.creator | Wang, Chie Bing | |
| dc.date | 1999-03-11 | |
| dc.date.accessioned | 2026-07-07T04:32:44Z | |
| dc.date.available | 2026-07-07T04:32:44Z | |
| dc.description | In this paper, we study the analytic expansion in a small neighborhood of 0 in the complex plane for the solution to the equation $p dp/dz - p = z(z-1)(z-2)$ satisfying $p(z) = -z + O(z^2)$ as $z \to 0$. We show that the expansion is valid for $|z| \le s_0$, where $s_0 >1$. Then we get an explicit formula for $p(1)$ which is used to give the connection formula for the problem $r^2 f^{''} + f = f^3$, $f(1) = 0, f(\infty) = 1$. | |
| dc.description | 12 pages | |
| dc.identifier | https://arxiv.org/abs/math-ph/9903023 | |
| dc.identifier | http://arxiv.org/abs/math-ph/9903023 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/58302 | |
| dc.subject | Mathematical Physics | |
| dc.subject | Dynamical Systems | |
| dc.subject | 34B15,34D05, 34E10, 30B10, 30B40, 81T13 | |
| dc.title | Boundary Value Problem for $r^2 d^2 f/dr^2 + f = f^3$ (II): Connection Formula | |
| dc.type | text |