Exact Traveling Wave Solutions and Bifurcation of a Generalized (3+1)-Dimensional Time-Fractional Camassa-Holm-Kadomtsev-Petviashvili Equation
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 solution...
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2020/4532824 |
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| _version_ | 1832560012630687744 |
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| author | Zhigang Liu Kelei Zhang Mengyuan Li |
| author_facet | Zhigang Liu Kelei Zhang Mengyuan Li |
| author_sort | Zhigang Liu |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-f92ae15dd50d415fb3c8dd56d17dfc16 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-f92ae15dd50d415fb3c8dd56d17dfc162025-02-03T01:28:42ZengWileyJournal of Function Spaces2314-88962314-88882020-01-01202010.1155/2020/45328244532824Exact Traveling Wave Solutions and Bifurcation of a Generalized (3+1)-Dimensional Time-Fractional Camassa-Holm-Kadomtsev-Petviashvili EquationZhigang Liu0Kelei Zhang1Mengyuan Li2School of Mathematics and Computing Science, Guilin University of Electronic Technology, Guilin, Guangxi, 541004, ChinaSchool of Mathematics and Computing Science, Guilin University of Electronic Technology, Guilin, Guangxi, 541004, ChinaSchool of Mathematics and Computing Science, Guilin University of Electronic Technology, Guilin, Guangxi, 541004, ChinaIn 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.http://dx.doi.org/10.1155/2020/4532824 |
| spellingShingle | Zhigang Liu Kelei Zhang Mengyuan Li Exact Traveling Wave Solutions and Bifurcation of a Generalized (3+1)-Dimensional Time-Fractional Camassa-Holm-Kadomtsev-Petviashvili Equation Journal of Function Spaces |
| title | Exact Traveling Wave Solutions and Bifurcation of a Generalized (3+1)-Dimensional Time-Fractional Camassa-Holm-Kadomtsev-Petviashvili Equation |
| title_full | Exact Traveling Wave Solutions and Bifurcation of a Generalized (3+1)-Dimensional Time-Fractional Camassa-Holm-Kadomtsev-Petviashvili Equation |
| title_fullStr | Exact Traveling Wave Solutions and Bifurcation of a Generalized (3+1)-Dimensional Time-Fractional Camassa-Holm-Kadomtsev-Petviashvili Equation |
| title_full_unstemmed | Exact Traveling Wave Solutions and Bifurcation of a Generalized (3+1)-Dimensional Time-Fractional Camassa-Holm-Kadomtsev-Petviashvili Equation |
| title_short | Exact Traveling Wave Solutions and Bifurcation of a Generalized (3+1)-Dimensional Time-Fractional Camassa-Holm-Kadomtsev-Petviashvili Equation |
| title_sort | exact traveling wave solutions and bifurcation of a generalized 3 1 dimensional time fractional camassa holm kadomtsev petviashvili equation |
| url | http://dx.doi.org/10.1155/2020/4532824 |
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