Title | Similarity solutions of the one-dimensional Fokker-Planck equation |
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Publication Type | Articolo su Rivista peer-reviewed |
Year of Publication | 1986 |
Authors | Succi, S., and Iacono Roberto |
Journal | Physical Review A |
Volume | 33 |
Pagination | 4419-4422 |
ISSN | 10502947 |
Abstract | A general method recently developed to establish the conditions for the existence of similarity solutions of the Fokker-Planck-Smoluchowsky equation is applied to the one-dimensional equation P/t=(/x)[R(x)P +D(x)(P/x)]. The case of power-law behavior of the coefficient functions R(x) and D(x) is investigated in detail, and a few classes of similarity solutions are presented. In addition, a class of functions R(x) and D(x) is identified such that the general method, based on the invariance under a continuous group of transformations, is equivalent to a generalized scale transformation of the space and time variables. © 1986 The American Physical Society. |
Notes | cited By 9 |
URL | https://www.scopus.com/inward/record.uri?eid=2-s2.0-0038108985&doi=10.1103%2fPhysRevA.33.4419&partnerID=40&md5=b29530c2b8bd4e08d34deda3bd72e155 |
DOI | 10.1103/PhysRevA.33.4419 |
Citation Key | Succi19864419 |