Citation
Wy. Hong et Yd. Jung, Auto-Backlund transformation and analytic solutions for general variable-coefficient KdV equation, PHYS LETT A, 257(3-4), 1999, pp. 149-152
Citations number
7
Categorie Soggetti
Physics
Journal title
PHYSICS LETTERS A
ISSN journal
03759601
→ ACNP
Volume
257
Issue
3-4
Year of publication
1999
Pages
149 - 152
Database
ISI
SICI code
0375-9601(19990628)257:3-4<149:ATAASF>2.0.ZU;2-D
Abstract
We find analytic solutions for the general variable-coefficient KdV equatio
n of the form u(t) + f(t)uu(x) + g(t)u(xxx) = 0. We make use of both the ap
plication of the truncate Painleve expansion and symbolic computation to ob
tain an auto-Backlund transformation and certain soliton-typed analytic sol
utions with a constraint on f(t) and g(t), (C) 1999 Published by Elsevier S
cience B.V. All rights reserved.