Topological and Si
Topological and
Singular Solitons of B(m, n) Equation with Generalized
Evolution
Bouthina S.
Ahmed1 and Anjan Biswas2, 3
1Department
of Mathematics, College of Girls, Ain Shams University, P. O. Box.11566, Cairo,
Egypt
2Department of Mathematical Sciences, Delaware State
University, Dover, DE 19901-2277, USA
3Department of Mathematics, Faculty of Science King
Abdul-Aziz University, Jeddah, Saudi Arabia
[email protected], [email protected]
Abstract:
This paper studies the B(m, n) equation with generalized
evolution. The ansatz method is applied to extract the topological as well as
singular soliton solutions to the equation. It will be observed that specific
choice of pairs parameter values, both of these solitons will exist. This will
lead to four exhaustive cases and all of these cases are analyzed for the
existence of soliton solutions.
[Bouthina S. Ahmed and Anjan Biswas. Topological and Singular Solitons of B(m, n) Equation
with Generalized Evolution. Life Sci J 2013;
10(1):3002-3005]. (ISSN: 1097-8135). http://www.lifesciencesite.com.
Keywords: Evolution equation, Integrability, Solitons.