83 citations · 217 across the 4 of their papers we have counts for
4 papers
Localized Coherent Structures of Ishimori Equation I through Hirota's Bilinearization method:Time dependent/Stationary boundaries
S. Vijayalakshmi, M. Lakshmanan
Ishimori equation is a dimensional generalization of the dimensional integrable classical continuous Heisenberg ferromagnetic spin equation. The richness of the coh…
On the simplest (2+1) dimensional integrable spin systems and their equivalent nonlinear Schrödinger equations
R. Myrzakulov, S. Vijayalakshmi, R. N. Syzdykova +1
Using a moving space curve formalism, geometrical as well as gauge equivalence between a (2+1) dimensional spin equation (M-I equation) and the (2+1) dimensional nonlinear Schrödin…
Motion of Curves and Surfaces and Nonlinear Evolution Equations in (2+1) Dimensions
M. Lakshmanan, R. Myrzakulov, S. Vijayalakshmi +1
It is shown that a class of important integrable nonlinear evolution equations in (2+1) dimensions can be associated with the motion of space curves endowed with an extra spatial v…
A (2+1) dimensional integrable spin model: Geometrical and gauge equivalent counterpart, solitons and localized coherent structures
R. Myrzakulov, S. Vijayalakshmi, G. N. Nugmanova +1
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…