Nonlinear Sciences – Exactly Solvable and Integrable Systems
Scientific paper
1997-04-06
Nonlinear Sciences
Exactly Solvable and Integrable Systems
14 pages, LaTex, no figures; email of first author: rat@nlpub.ksisti.alma-ata.su and myrzakulov@hepi.academ.alma-ata.su
Scientific paper
10.1016/S0375-9601(97)00457-X
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.
Lakshmanan Meenakshi
Myrzakulov Ratbay
Nugmanova G. N.
Vijayalakshmi S.
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