A (2+1) dimensional integrable spin model: Geometrical and gauge equivalent counterpart, solitons and localized coherent structures

摘要

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 studiedrecently by Strachan. Using a Hirota bilinearised form, line and curved solitonsolutions are obtained. Using certain freedom (arbitrariness) in the solutionsof the bilinearised equation, exponentially localized dromion-like solutionsfor the potential is found. Also, breaking soliton solutions (for the spinvariables) of the shock wave type and algebraically localized nature areconstructed.