652 publications from this institution
In this paper, a new method, called Exp-function method, is proposed to seek solitary solutions, periodic solutions and compacton-like solutions of nonlinear differential equations. The modified KdV equation and Dodd–Bullough–Mikhailov equation are chosen to illustrate the effectiveness and convenience of the suggested method.
The paper introduces the Menger–Urysohn mathematical theory of dimensions and Cantorian manifolds. It is shown that this topological theory is the basis of El Naschie’s E-infinity Cantorian spacetime theory.
