Hello,(adsbygoogle = window.adsbygoogle || []).push({});

I'd like to verify that the elastic ribbon model [ depicted here: http://www.math.h.kyoto-u.ac.jp/~takasaki/soliton-lab/gallery/solitons/sg-e.html ] is governed by the sine-Gordon equation. I suppose this can be shown by writing the lagrangian [itex]L = T - V[/itex] and looking at the variation. The kinetic energy for a single single pendulum is [itex]T =\tfrac{1}{2} \dot{\phi}^2 [/itex], but how can i describe potential [itex]V[/itex] now that each pendulum is coupled to its neighbours?

All the best

SF

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: The elastic ribbon sine-Gordon model

**Physics Forums | Science Articles, Homework Help, Discussion**