28 citations · 71 across the 8 of their papers we have counts for
6 papers · 2 filters
Lax pair and Darboux transformation of noncommutative U(N) principal chiral model
U. Saleem, M. Hassan
We present a noncommutative generalization of Lax formalism of U(N) principal chiral model in terms of a one-parameter family of flat connections. The Lax formalism is further used…
On non commutative sinh-Gordon Equation
U. Saleem, M. Siddiq, M. Hassan
We give a noncommutative extension of sinh-Gordon equation. We generalize a linear system and Lax representation of the sinh-Gordon equation in noncommutative space. This generaliz…
Conserved Quantities in Noncommutative Principal Chiral Model with Wess-Zumino Term
U. Saleem, M. Hassan, M. Siddiq
We construct noncommutative extension of U(N) principal chiral model with Wess-Zumino term and obtain an infinite set of local and non-local conserved quantities for the model usin…
On linearization of super sine-Gordon equation
M. Siddiq, M. Hassan
Two sets of super Riccati equations are presented which result in two linear problems of super sine-Gordon equation. The linear problems are then shown to be related to each other…
On Darboux transformation of the supersymmetric sine-Gordon equation
M. Siddiq, M. Hassan, U. Saleem
Darboux transformation is constructed for superfields of the super sine-Gordon equation and the superfields of the associated linear problem. The Darboux transformation is shown to…
Superfield Lax formalism of supersymmetric sigma model on symmetric spaces
U. Saleem, M. Hassan
We present a superfield Lax formalism of superspace sigma model based on the target space and show that a one-parameter family of flat superfield connections ex…