English

A note on the three dimensional sine--Gordon equation

High Energy Physics - Theory 2007-05-23 v1

Abstract

Using a simple ansatz for the solutions of the three dimensional generalization of the sine--Gordon and Toda model introduced by Konopelchenko and Rogers, a class of solutions is found by elementary methods. It is also shown that these equations are not evolution equations in the sense that solution to the initial value problem is not unique.

Cite

@article{arxiv.hep-th/9612048,
  title  = {A note on the three dimensional sine--Gordon equation},
  author = {Ahmad Shariati},
  journal= {arXiv preprint arXiv:hep-th/9612048},
  year   = {2007}
}

Comments

4 pages, LaTeX

R2 v1 2026-07-22T16:02:43.725Z