Abstract
In this paper, we introduce a new dual-mode Kawahara equation with new dissipative, nonlinearity and interaction phase velocity parameters. Also, we study the solutions of this model by using the tanh-scheme, Kudryashov-scheme and the sine–cosine function methods. Dynamics and shapes of the obtained solutions are illustrated by using graphical 2D and 3D plots. Finally, the interaction of the obtained dual-waves has been linked with the change of the phase-velocity parameter.
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