in this paper, the coupled dispersive (2+1)-dimensional long wave equation is studied. the traveling wave hypothesis yields complexiton solutions. subsequently, the wave equation is studied with power law nonlinearity where the ansatz method is applied to yield solitary wave solutions. the constraint conditions for the existence of solitons naturally fall out of the derivation of the soliton so...

3–dimensional (3d) automatic crystal orientation mapping (ACOM) allows to sample parallel 2d section raster images which represent the orientation of crystal grains. The fabric, i.e. the partition of the specimen into 3d crystal grains, can be approximated given its intersections with parallel planes provided by series of 2–dimensional raster orientation images. A method to model the 3d fabric ...

Let M be a Kobayashi-hyperbolic 2-dimensional complex manifold and Aut(M) the group of holomorphic automorphisms of M . We showed earlier that if dimAut(M) = 3, then Aut(M)-orbits are closed submanifolds in M of (real) codimension 1 or 2. In this paper we classify all connected Kobayashi-hyperbolic 2-dimensional manifolds with 3-dimensional automorphism groups in the case when every orbit has c...

Let M be a Kobayashi-hyperbolic 2-dimensional complex manifold and Aut(M) the group of holomorphic automorphisms of M . We showed earlier that if dimAut(M) = 3, then Aut(M)-orbits are closed submanifolds in M of (real) codimension 1 or 2. In a preceding article we classified all such manifolds in the case when every orbit has codimension 1. In the present paper we complete the classification by...

Performing lattice simulations of the four dimensional SU(2) gluodynamics we find evidence for existence of three-dimensional domains whose total volume scales in physical units. Technically, the domains are defined in terms of the minimal density of negative links in Z(2) projection of gauge fields. The volume can be viewed also as the minimal volume bound by the center vortices. We argue that...

-The advent of modern 3D technological devices and the desire to create 3D images from the numerous 2D images have increased tremendously. Image-based 3D-modeling techniques for creating a 3D representation of a scene from one or more 2D images have received great attention and methods to improve the conversion process have been probed by both academicians and researchers. This research study f...

If M is a connected n-dimensional Kobayashi-hyperbolic complex manifold, then the group Aut(M) of holomorphic automorphisms of M is a (real) Lie group in the compact-open topology, of dimension d(M) not exceeding n + 2n, with the maximal value occurring only for manifolds holomorphically equivalent to the unit ball B ⊂ C [Ko1], [Ka]. We are interested in describing hyperbolic manifolds with low...