TITLE:
Exact Traveling Wave Solutions for the (1 + 1)-Dimensional Compound KdVB Equation via the Novel (G'/G)-Expansion Method
AUTHORS:
Md. Nur Alam, Fethi Bin Muhammad Belgacem
KEYWORDS:
Novel (G'/G)-Expansion Method, The (1 + 1)-Dimensional Compound KdVB Equation, Traveling Wave Solutions, Solitary Wave Solutions, Solitons
JOURNAL NAME:
International Journal of Modern Nonlinear Theory and Application,
Vol.5 No.1,
March
3,
2016
ABSTRACT: In this
work, while applying a new and novel (G'/G)-expansion version technique, we
identify four families of the traveling wave solutions to the (1 + 1)-dimensional
compound KdVB equation. The exact solutions are derived, in terms of
hyperbolic, trigonometric and rational functions, involving various parameters.
When the parameters are tuned to special values, both solitary, and periodic
wave models are distinguished. State of the art symbolic algebra graphical
representations and dynamical interpretations of the obtained solutions physics
are provided and discussed. This in turn ends up revealing salient solutions
features and demonstrating the used method efficiency.