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Exact Traveling Wave Solutions for the (1 + 1)-Dimensional Compound KdVB Equation via the Novel (G'/G)-Expansion Method

Exact Traveling Wave Solutions for the (1 + 1)-Dimensional Compound KdVB Equation via the Novel (G'/G)-Expansion Method
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摘要 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. 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.
作者 Md. Nur Alam Fethi Bin Muhammad Belgacem Md. Nur Alam;Fethi Bin Muhammad Belgacem(Department of Mathematics, Pabna University of Science & Technology, Pabna, Bangladesh;Department of Mathematics, Faculty of Basic Education, PAAET, Al-Ardhiya, Kuwait)
出处 《International Journal of Modern Nonlinear Theory and Application》 2016年第1期28-39,共12页 现代非线性理论与应用(英文)
关键词 Novel (G'/G)-Expansion Method The (1 + 1)-Dimensional Compound KdVB Equation Traveling Wave Solutions Solitary Wave Solutions SOLITONS Novel (G'/G)-Expansion Method The (1 + 1)-Dimensional Compound KdVB Equation Traveling Wave Solutions Solitary Wave Solutions Solitons
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