New integral transform: Shehu transform a generalization of Sumudu and Laplace transform for solving differential equations

In this paper, we introduce a Laplace-type integral transform called the Shehu transform which is a generalization of the Laplace and the Sumudu integral transforms for solving differential equations in the time domain. The proposed integral transform is successfully derived from the classical Fourier integral transform and is applied to both ordinary and partial differential equations to show its simplicity, efficiency, and the high accuracy

Some New Results In Topological Field Theories

We report two results in topological field theories. Using the Hamiltonian approach, we reinterpret the partition functions of cohomology models as various character-valued indices. Secondly, we also show that, in the presence of Gribov zero modes, the topological field theories without regulating terms permit spontaneous symmetry breaking. The relation to reducible configurations is discussed