English

A novel approach for solving the three-dimensional sine-Gordon equation

Exactly Solvable and Integrable Systems 2009-09-17 v1 Pattern Formation and Solitons

Abstract

A new way for finding analytical solutions of the three-dimensional sine-Gordon equation is presented. The method is based on the established relation between the solutions of the three-dimensional wave equation and solutions of the three-dimensional sine-Gordon equation. Some examples of the solutions thus obtained are show.

Keywords

Cite

@article{arxiv.0909.3008,
  title  = {A novel approach for solving the three-dimensional sine-Gordon equation},
  author = {Sergey G Artyshev},
  journal= {arXiv preprint arXiv:0909.3008},
  year   = {2009}
}

Comments

3 pages

R2 v1 2026-06-21T13:47:05.869Z