Some novel exact solutions for the generalized time-space fractional coupled Hirota-Satsuma KdV equation
In this paper, two efficient methods, namely the modified G′/G,1/G-expansion method and the G′/bG′+G+a-expansion method, are employed to obtain novel exact wave solutions for the generalized time-space fractional coupled Hirota-Satsuma KdV equation. Various types of analytical explicit solutions, in...
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| Format: | Article |
| Language: | English |
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Frontiers Media S.A.
2025-02-01
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| Series: | Frontiers in Physics |
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| Online Access: | https://www.frontiersin.org/articles/10.3389/fphy.2024.1526258/full |
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| author | Yueling Cheng Siyuan Hong Shujun Yang Xu Chi Jinghao Yang |
| author_facet | Yueling Cheng Siyuan Hong Shujun Yang Xu Chi Jinghao Yang |
| author_sort | Yueling Cheng |
| collection | DOAJ |
| description | In this paper, two efficient methods, namely the modified G′/G,1/G-expansion method and the G′/bG′+G+a-expansion method, are employed to obtain novel exact wave solutions for the generalized time-space fractional coupled Hirota-Satsuma KdV equation. Various types of analytical explicit solutions, including well-known bell-shape solitons, mixed solitary wave solutions, and periodic wave solutions are obtained. These solutions are of great significance for revealing the nonlinear interaction between two long waves with different dispersion effects. The two-dimensional and three-dimensional distribution maps and contour plots corresponding to partial solutions are simulated to visually display the evolution process of relevant physical quantities over time. Moreover, the potential applications of these solutions in nano/micro devices and systems, especially in MEMS (Micro-Electro-Mechanical Systems) are discussed. It is demonstrated that the methods and processes utilized have strong applicability for constructing analytical solutions of nonlinear evolution equations. |
| format | Article |
| id | doaj-art-32a4ae0a62114117bbab9f9c753f1f19 |
| institution | Kabale University |
| issn | 2296-424X |
| language | English |
| publishDate | 2025-02-01 |
| publisher | Frontiers Media S.A. |
| record_format | Article |
| series | Frontiers in Physics |
| spelling | doaj-art-32a4ae0a62114117bbab9f9c753f1f192025-02-05T13:07:09ZengFrontiers Media S.A.Frontiers in Physics2296-424X2025-02-011210.3389/fphy.2024.15262581526258Some novel exact solutions for the generalized time-space fractional coupled Hirota-Satsuma KdV equationYueling ChengSiyuan HongShujun YangXu ChiJinghao YangIn this paper, two efficient methods, namely the modified G′/G,1/G-expansion method and the G′/bG′+G+a-expansion method, are employed to obtain novel exact wave solutions for the generalized time-space fractional coupled Hirota-Satsuma KdV equation. Various types of analytical explicit solutions, including well-known bell-shape solitons, mixed solitary wave solutions, and periodic wave solutions are obtained. These solutions are of great significance for revealing the nonlinear interaction between two long waves with different dispersion effects. The two-dimensional and three-dimensional distribution maps and contour plots corresponding to partial solutions are simulated to visually display the evolution process of relevant physical quantities over time. Moreover, the potential applications of these solutions in nano/micro devices and systems, especially in MEMS (Micro-Electro-Mechanical Systems) are discussed. It is demonstrated that the methods and processes utilized have strong applicability for constructing analytical solutions of nonlinear evolution equations.https://www.frontiersin.org/articles/10.3389/fphy.2024.1526258/fulltime-space fractional coupled Hirota-Saturma KdV equationthe modified (G′/G,1/G)-expansion methodthe G′/(bG′+G+a)-expansion methodblow-upanalytical solutions |
| spellingShingle | Yueling Cheng Siyuan Hong Shujun Yang Xu Chi Jinghao Yang Some novel exact solutions for the generalized time-space fractional coupled Hirota-Satsuma KdV equation Frontiers in Physics time-space fractional coupled Hirota-Saturma KdV equation the modified (G′/G,1/G)-expansion method the G′/(bG′+G+a)-expansion method blow-up analytical solutions |
| title | Some novel exact solutions for the generalized time-space fractional coupled Hirota-Satsuma KdV equation |
| title_full | Some novel exact solutions for the generalized time-space fractional coupled Hirota-Satsuma KdV equation |
| title_fullStr | Some novel exact solutions for the generalized time-space fractional coupled Hirota-Satsuma KdV equation |
| title_full_unstemmed | Some novel exact solutions for the generalized time-space fractional coupled Hirota-Satsuma KdV equation |
| title_short | Some novel exact solutions for the generalized time-space fractional coupled Hirota-Satsuma KdV equation |
| title_sort | some novel exact solutions for the generalized time space fractional coupled hirota satsuma kdv equation |
| topic | time-space fractional coupled Hirota-Saturma KdV equation the modified (G′/G,1/G)-expansion method the G′/(bG′+G+a)-expansion method blow-up analytical solutions |
| url | https://www.frontiersin.org/articles/10.3389/fphy.2024.1526258/full |
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