Exact traveling wave solutions and bifurcation of a generalized \((3+1)\)-dimensional time-fractional Camassa-Holm-Kadomtsev-Petviashvili equation (Q777012)
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scientific article; zbMATH DE number 7219834
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Exact traveling wave solutions and bifurcation of a generalized \((3+1)\)-dimensional time-fractional Camassa-Holm-Kadomtsev-Petviashvili equation |
scientific article; zbMATH DE number 7219834 |
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Exact traveling wave solutions and bifurcation of a generalized \((3+1)\)-dimensional time-fractional Camassa-Holm-Kadomtsev-Petviashvili equation (English)
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13 July 2020
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Summary: In this paper, we study the \((3+1)\)-dimensional time-fractional Camassa-Holm-Kadomtsev-Petviashvili equation with a conformable fractional derivative. By the fractional complex transform and the bifurcation method for dynamical systems, we investigate the dynamical behavior and bifurcation of solutions of the traveling wave system and seek all possible exact traveling wave solutions of the equation. Furthermore, the phase portraits of the dynamical system and the remarkable features of the solutions are demonstrated via interesting figures.
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Camassa-Holm-Kadomtsev-Petviashvili equation
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traveling wave
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bifurcation
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fractional derivative
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