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Stationary wave solutions for new developed two-waves' fifth-order Korteweg-de Vries equation

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2019

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Springer Open

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Abstract

In this work, we present a new two-waves' version of the fifth-order Korteweg-de Vries model. This model describes the propagation of moving two-waves under the influence of dispersion, nonlinearity, and phase velocity factors. We seek possible stationary wave solutions to this new model by means of Kudryashov-expansion method and sine-cosine function method. Also, we provide a graphical analysis to show the effect of phase velocity on the motion of the obtained solutions.

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Two-Wave Fifth-Order Kdv Equation, Kudryashov-Scheme, Sine-Cosine Function Method

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Ali, Mohammed...et al. (2019). "Stationary wave solutions for new developed two-waves' fifth-order Korteweg-de Vries equation", Advances in Difference Equations.

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Advances in Difference Equations

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