On the hyperbolic simulations to the Camassa-Holm equation

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Lviv Polytechnic Publishing House

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In this paper, we apply the sine-Gordon expansion method to the Camassa-Holm equation. We obtain some new travelling wave solutions such as complex, hyperbolic and trigonometric function solutions. All the travelling wave solutions are verified by using Wolfram Mathematica 9 and they are indeed solutions to the model. We also plot the two- and three-dimensional surfaces for all the travelling wave solutions obtained in this paper using the same computer program.

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Haci Mehmet Baskonus On the hyperbolic simulations to the Camassa-Holm equation / Haci Mehmet Baskonus, Tukur Abdulkadir Sulaiman // Litteris et Artibus : proceedings of the 6th International youth science forum, November 24–26, 2016, Lviv, Ukraine / Lviv Polytechnic National University. – Lviv : Lviv Polytechnic Publishing House, 2016. – P. 97–100. – Bibliography: 18 titles.

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