A (2+1) dimensional integrable spin model: Geometrical and gauge equivalent counterpart, solitons and localized coherent structures
solv-int
2013-10-15 v1 Exactly Solvable and Integrable Systems
Abstract
A non-isospectral (2+1) dimensional integrable spin equation is investigated. It is shown that its geometrical and gauge equivalent counterparts is the (2+1) dimensional nonlinear Schr\"odinger equation introduced by Zakharov and studied recently by Strachan. Using a Hirota bilinearised form, line and curved soliton solutions are obtained. Using certain freedom (arbitrariness) in the solutions of the bilinearised equation, exponentially localized dromion-like solutions for the potential is found. Also, breaking soliton solutions (for the spin variables) of the shock wave type and algebraically localized nature are constructed.
Keywords
Cite
@article{arxiv.solv-int/9704005,
title = {A (2+1) dimensional integrable spin model: Geometrical and gauge equivalent counterpart, solitons and localized coherent structures},
author = {R. Myrzakulov and S. Vijayalakshmi and G. N. Nugmanova and M. Lakshmanan},
journal= {arXiv preprint arXiv:solv-int/9704005},
year = {2013}
}
Comments
14 pages, LaTex, no figures; email of first author: [email protected] and [email protected]