Exact solitons in the nonlocal Gordon equation
| dc.creator | Chmaj, Adam | |
| dc.creator | Zabielski, Leszek | |
| dc.date | 2008-07-22 | |
| dc.date.accessioned | 2026-07-07T09:52:07Z | |
| dc.date.available | 2026-07-07T09:52:07Z | |
| dc.description | We find exact monotonic solitons in the nonlocal Gordon equation u_{tt}=J*u-u-f(u), in the case J(x)=1/2 e^{-|x|}. To this end we come up with an inverse method, which gives a representation of the set of nonlinearities admitting such solutions. We also study u''''+łu''-sin u=0, which arises from the above when we write it in traveling wave coordinates and pass to a certain limit. For this equation we find an exact 4π-kink and show the nonexistence of 2π-kinks, using the analytic continuation method of Amick and McLeod. | |
| dc.identifier | https://arxiv.org/abs/0807.3509 | |
| dc.identifier | http://arxiv.org/abs/0807.3509 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/165480 | |
| dc.subject | Pattern Formation and Solitons | |
| dc.title | Exact solitons in the nonlocal Gordon equation | |
| dc.type | text |