Convex-periodic, kink-periodic, peakon-soliton and kink bidirectional wave-solutions to new established two-mode generalization of Cahn–Allen equation
In this paper, the evolutionary Cahn–Allen equation is upgraded into the generalized two-mode version via Korsunsky’s sense. The new established model is characterized in terms of the wave propagation form represented by the movement of two simultaneous waves of symmetric type. The Kudryashov-expans...
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| Format: | Article |
| Language: | English |
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Elsevier
2022-03-01
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| Series: | Results in Physics |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2211379722000596 |
| _version_ | 1818986729597566976 |
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| author | Marwan Alquran Rahaf Alhami |
| author_facet | Marwan Alquran Rahaf Alhami |
| author_sort | Marwan Alquran |
| collection | DOAJ |
| description | In this paper, the evolutionary Cahn–Allen equation is upgraded into the generalized two-mode version via Korsunsky’s sense. The new established model is characterized in terms of the wave propagation form represented by the movement of two simultaneous waves of symmetric type. The Kudryashov-expansion method is used to extract some solitary wave solutions to the suggested model. Moreover, from mathematical point of view, some physical properties are explored to the two-mode Cahn–Allen equation via examining, graphically, the effect of the phase velocity and the dispersion parameters acting on the propagations of the obtained bidirectional wave-solutions. Finally, very interesting types of solutions are obtained to the new model by implementing a modified versions of the rational sine–cosine and sinh–cosh methods. |
| first_indexed | 2024-12-20T18:55:25Z |
| format | Article |
| id | doaj.art-6772dfaf187940039260b80b9a6240a7 |
| institution | Directory Open Access Journal |
| issn | 2211-3797 |
| language | English |
| last_indexed | 2024-12-20T18:55:25Z |
| publishDate | 2022-03-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Results in Physics |
| spelling | doaj.art-6772dfaf187940039260b80b9a6240a72022-12-21T19:29:31ZengElsevierResults in Physics2211-37972022-03-0134105257Convex-periodic, kink-periodic, peakon-soliton and kink bidirectional wave-solutions to new established two-mode generalization of Cahn–Allen equationMarwan Alquran0Rahaf Alhami1Corresponding author.; Department of Mathematics & Statistics, Jordan University of Science & Technology, Irbid 22110, JordanDepartment of Mathematics & Statistics, Jordan University of Science & Technology, Irbid 22110, JordanIn this paper, the evolutionary Cahn–Allen equation is upgraded into the generalized two-mode version via Korsunsky’s sense. The new established model is characterized in terms of the wave propagation form represented by the movement of two simultaneous waves of symmetric type. The Kudryashov-expansion method is used to extract some solitary wave solutions to the suggested model. Moreover, from mathematical point of view, some physical properties are explored to the two-mode Cahn–Allen equation via examining, graphically, the effect of the phase velocity and the dispersion parameters acting on the propagations of the obtained bidirectional wave-solutions. Finally, very interesting types of solutions are obtained to the new model by implementing a modified versions of the rational sine–cosine and sinh–cosh methods.http://www.sciencedirect.com/science/article/pii/S2211379722000596Two-mode Cahn–Allen equationKudryashov-expansion methodModified rational sine–cosine methodModified rational sinh–cosh methodBidirectional wave-solutions |
| spellingShingle | Marwan Alquran Rahaf Alhami Convex-periodic, kink-periodic, peakon-soliton and kink bidirectional wave-solutions to new established two-mode generalization of Cahn–Allen equation Results in Physics Two-mode Cahn–Allen equation Kudryashov-expansion method Modified rational sine–cosine method Modified rational sinh–cosh method Bidirectional wave-solutions |
| title | Convex-periodic, kink-periodic, peakon-soliton and kink bidirectional wave-solutions to new established two-mode generalization of Cahn–Allen equation |
| title_full | Convex-periodic, kink-periodic, peakon-soliton and kink bidirectional wave-solutions to new established two-mode generalization of Cahn–Allen equation |
| title_fullStr | Convex-periodic, kink-periodic, peakon-soliton and kink bidirectional wave-solutions to new established two-mode generalization of Cahn–Allen equation |
| title_full_unstemmed | Convex-periodic, kink-periodic, peakon-soliton and kink bidirectional wave-solutions to new established two-mode generalization of Cahn–Allen equation |
| title_short | Convex-periodic, kink-periodic, peakon-soliton and kink bidirectional wave-solutions to new established two-mode generalization of Cahn–Allen equation |
| title_sort | convex periodic kink periodic peakon soliton and kink bidirectional wave solutions to new established two mode generalization of cahn allen equation |
| topic | Two-mode Cahn–Allen equation Kudryashov-expansion method Modified rational sine–cosine method Modified rational sinh–cosh method Bidirectional wave-solutions |
| url | http://www.sciencedirect.com/science/article/pii/S2211379722000596 |
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