Open Access Research

Exact solutions of Benjamin-Bona-Mahony-Burgers-type nonlinear pseudo-parabolic equations

Ömer Faruk Gözükızıl* and Şamil Akçağıl

Author Affiliations

Department of Mathematics, Sakarya University, Sakarya, Turkey

For all author emails, please log on.

Boundary Value Problems 2012, 2012:144  doi:10.1186/1687-2770-2012-144

Published: 10 December 2012

Abstract

In this paper, we consider some nonlinear pseudo-parabolic Benjamin-Bona-Mahony-Burgers (BBMB) equations. These equations are of a class of nonlinear pseudo-parabolic or Sobolev-type equations <a onClick="popup('http://www.boundaryvalueproblems.com/content/2012/1/144/mathml/M1','MathML',630,470);return false;" target="_blank" href="http://www.boundaryvalueproblems.com/content/2012/1/144/mathml/M1">View MathML</a>, α is a fixed positive constant, arising from the mathematical physics. The tanh method with the aid of symbolic computational system is employed to investigate exact solutions of BBMB-type equations and the exact solutions are found. The results obtained can be viewed as verification and improvement of the previously known data.

Keywords:
nonlinear pseudo-parabolic equation; Benjamin-Bona-Mahony-Burgers (BBMB)-type equation; Sobolev-type equation; tanh method