Some explicit travelling-wave solutions of a perturbed sine-Gordon equation

Details Some explicit travelling-wave solutions of a perturbed sine-Gordon equation Some explicit travelling-wave solutions of a perturbed sine-Gordon equation

2007-02-09

arxiv.org/abs/math-ph/0702030v1

Physics

Mathematical Physics

Latex file, 2 figures, 8 pages. To appear in the proceedings of the conference ``Mathematical Physics Models and Engineering S

Scientific paper

We present in closed form some special travelling-wave solutions (on the real line or on the circle) of a perturbed sine-Gordon equation. The perturbation of the equation consists of a constant forcing term $\gamma$ and a linear dissipative term, and the equation is used to describe the Josephson effect in the theory of superconductors and other remarkable physical phenomena. We determine all travelling-wave solutions with unit velocity (in dimensionless units). For $|\gamma|$ not larger than 1 we find families of solutions that are all (except the obvious constant one) manifestly unstable, whereas for $|\gamma|>1$ we find families of stable solutions describing each an array of evenly spaced kinks.

Affiliated with

Also associated with

No associations

Rating

Some explicit travelling-wave solutions of a perturbed sine-Gordon equation does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Some explicit travelling-wave solutions of a perturbed sine-Gordon equation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Some explicit travelling-wave solutions of a perturbed sine-Gordon equation will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-8467