SINE-GORDON EQUATION ON THE SEMI-AXIS

Authors
KHABIBULLIN IT
Citation
It. Khabibullin, SINE-GORDON EQUATION ON THE SEMI-AXIS, Theoretical and mathematical physics, 114(1), 1998, pp. 90-98
Citations number
12
Categorie Soggetti
Physycs, Mathematical",Physics,"Physycs, Mathematical
Journal title
Theoretical and mathematical physics → ACNP
ISSN journal
00405779
Volume
114
Issue
1
Year of publication
1998
Pages
90 - 98
Database
ISI
SICI code
0040-5779(1998)114:1<90:SEOTS>2.0.ZU;2-F
Abstract
We investigate the sine-Gordon equation u(tt) - u(xx) + sin u = 0 on t he semi-axis x > 0. We show that boundary conditions of the forms u(x) (0, t) = c(1)cos(u(0, t)/2) + c(2)sin(u(0, t)/2) and u(0, t) = c are c ompatible with the Backlund transformation. We construct a multisolito n solution satisfying these boundary conditions.