New exact solutions are obtained for several nonlinear physical equations, namely the Navierâ€“Stokes and Euler systems, an isentropic compressible fluid system and a vector nonlinear SchrÃ¶dingerâ€¦ (More)

A comprehensive symmetry analysis of the N = 1 supersymmetric sineâ€“Gordon equation is performed. Two different forms of the supersymmetric system are considered. We begin by studying a system ofâ€¦ (More)

We construct and investigate smooth orientable surfaces in su(N) algebras. The structural equations of surfaces associated with Grassmannian sigma models on Minkowski space are studied using movingâ€¦ (More)

The objective of this paper is to construct and investigate smooth orientable surfaces in RN âˆ’1 by analytical methods. The structural equations of surfaces in connection with CPNâˆ’1 sigma models onâ€¦ (More)

We study analytic descriptions of conformal immersions of the Rie-mann sphere S 2 into the CP Nâˆ’1 sigma model. In particular , an explicit expression for two-dimensional (2-D) surfaces , obtainedâ€¦ (More)

In this paper , the Weierstrass technique for harmonic maps S 2 â†’ CP Nâˆ’1 is employed in order to obtain surfaces immersed in multidimen-sional Euclidean spaces. It is proved that a specificâ€¦ (More)

In this paper , the Weierstrass technique for harmonic maps S 2 â†’ CP Nâˆ’1 is employed in order to obtain surfaces immersed in multidimen-sional Euclidean spaces. It is proved that if the CP Nâˆ’1 modelâ€¦ (More)

We present a version of the conditional symmetry method in order to obtain multiple wave solutions expressed in terms of Riemann invariants. We construct an abelian distribution of vector fieldsâ€¦ (More)

A supersymmetric extension of a Gaussian, irrotational, compressible fluid flow is formulated through the use of a superspace and superfield formalism. The Lie superalgebra of this extended model isâ€¦ (More)