A nonlinear transformation method for obtaining approximate analytic steady-state solutions of nonlinear stochastic differential equations

Citation
H. Konno et Ps. Lomdahl, A nonlinear transformation method for obtaining approximate analytic steady-state solutions of nonlinear stochastic differential equations, J PHYS JPN, 69(6), 2000, pp. 1619-1628
Citations number
16
Categorie Soggetti
Physics
Journal title
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN
ISSN journal
00319015 → ACNP
Volume
69
Issue
6
Year of publication
2000
Pages
1619 - 1628
Database
ISI
SICI code
0031-9015(200006)69:6<1619:ANTMFO>2.0.ZU;2-G
Abstract
We exemplify the method of nonlinear transformation (NTR) as a powerful too l for obtaining approximate analytic steady-state solutions of nonlinear st ochastic differential equations (SDEs). A number of nonlinear SDEs classifi ed into two-components Haken-Zwanzing model are used to demonstrate its sui tability and usefulness.