Journal article
On periodic waves for sine- and sinh-Gordon equations
Abstract
Results of existence as well as orbital stability/instability of periodic waves associated with sine-Gordon and sinh-Gordon equations will be treated in this manuscript. The sine-Gordon equation is known to be completely integrable, exactly solvable and it has several special solutions as soliton and breather solutions. We obtain in both cases, a periodic sign-changed wave which is smooth when posed on whole real line. The main tool used is the …
Authors
Natali F
Journal
Journal of Mathematical Analysis and Applications, Vol. 379, No. 1, pp. 334–350
Publisher
Elsevier
Publication Date
7 2011
DOI
10.1016/j.jmaa.2011.01.020
ISSN
0022-247X