Hopf-Cole Transformation with Effect of the Dissipation Coefficient on Nonlinearity in the Benjamin-Bona-Mahony (BBM) Generalized Pseudo-Parabolic Equation
Journal: International Journal of Science and Research (IJSR) (Vol.8, No. 6)Publication Date: 2019-06-05
Authors : R. Gilles Bokolo;
Page : 1707-1710
Keywords : pseudo-parabolic nonlinear equation; generalized Benjamin-Bona-Mahony equation BBM; functional variable method; Hopf-Cole transformation;
Abstract
In this paper, we consider the general form of the Benjamin-Bona-Mahony's pseudo-parabolic nonlinear equation (BBM) in which we use the Hopf-Cole transformation [10]. We also set up a conjecture to get rid of several terms throughout our development. Finally, we present a comparative analysis of solutions found either by the aforementioned transform or by the functional variable method formulated by A. Zerarka [11]- [12]. Hence, we show that the result obtained by the approach of Hopf- Cole transformation has some significant features.
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