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Research Paper | Mathematics | Congo | Volume 8 Issue 6, June 2019
Hopf-Cole Transformation with Effect of the Dissipation Coefficient on Nonlinearity in the Benjamin-Bona-Mahony (BBM) Generalized Pseudo-Parabolic Equation
R. Gilles Bokolo
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.
Keywords: pseudo-parabolic nonlinear equation, generalized Benjamin-Bona-Mahony equation BBM, functional variable method, Hopf-Cole transformation
Edition: Volume 8 Issue 6, June 2019,
Pages: 1707 - 1710
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Research Paper, Mathematics, India, Volume 11 Issue 5, May 2022
Pages: 871 - 872Generalization of the Group Classification with Application of Elliptic Partial Differential Equations
Mani Sharma [4] | Dr. Chitra Singh [6]
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Research Paper, Mathematics, India, Volume 11 Issue 5, May 2022
Pages: 1730 - 1737A Comparative Study between Experimental & Numerical Value of Subharmonic Acoustic Resonances
R. N. Shukla [3] | A. K. Ray