Breather Wave and Traveling Wave Solutions for A (2 + 1)-Dimensional KdV4 Equation
In this paper, an integrable (2 + 1)-dimensional KdV4 equation is considered. By considering variable transformation and Bell polynomials, an effective and straightforward way is presented to derive its bilinear form. The homoclinic breather test method is employed to construct the breather wave sol...
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2022/7761659 |
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| author | Sixing Tao |
| author_facet | Sixing Tao |
| author_sort | Sixing Tao |
| collection | DOAJ |
| description | In this paper, an integrable (2 + 1)-dimensional KdV4 equation is considered. By considering variable transformation and Bell polynomials, an effective and straightforward way is presented to derive its bilinear form. The homoclinic breather test method is employed to construct the breather wave solutions of the equation. Then, the dynamic behaviors of breather waves are discussed with graphic analysis. Finally, the G′/G2 expansion method is employed to obtain traveling wave solutions of the (2 + 1)-dimensional integrable KdV4 equation, including trigonometric solutions and exponential solutions. |
| format | Article |
| id | doaj-art-2712910fbabe477ca4deaa29e5db3d12 |
| institution | Kabale University |
| issn | 1687-9139 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-2712910fbabe477ca4deaa29e5db3d122025-02-03T01:11:55ZengWileyAdvances in Mathematical Physics1687-91392022-01-01202210.1155/2022/7761659Breather Wave and Traveling Wave Solutions for A (2 + 1)-Dimensional KdV4 EquationSixing Tao0School of Mathematics and StatisticsIn this paper, an integrable (2 + 1)-dimensional KdV4 equation is considered. By considering variable transformation and Bell polynomials, an effective and straightforward way is presented to derive its bilinear form. The homoclinic breather test method is employed to construct the breather wave solutions of the equation. Then, the dynamic behaviors of breather waves are discussed with graphic analysis. Finally, the G′/G2 expansion method is employed to obtain traveling wave solutions of the (2 + 1)-dimensional integrable KdV4 equation, including trigonometric solutions and exponential solutions.http://dx.doi.org/10.1155/2022/7761659 |
| spellingShingle | Sixing Tao Breather Wave and Traveling Wave Solutions for A (2 + 1)-Dimensional KdV4 Equation Advances in Mathematical Physics |
| title | Breather Wave and Traveling Wave Solutions for A (2 + 1)-Dimensional KdV4 Equation |
| title_full | Breather Wave and Traveling Wave Solutions for A (2 + 1)-Dimensional KdV4 Equation |
| title_fullStr | Breather Wave and Traveling Wave Solutions for A (2 + 1)-Dimensional KdV4 Equation |
| title_full_unstemmed | Breather Wave and Traveling Wave Solutions for A (2 + 1)-Dimensional KdV4 Equation |
| title_short | Breather Wave and Traveling Wave Solutions for A (2 + 1)-Dimensional KdV4 Equation |
| title_sort | breather wave and traveling wave solutions for a 2 1 dimensional kdv4 equation |
| url | http://dx.doi.org/10.1155/2022/7761659 |
| work_keys_str_mv | AT sixingtao breatherwaveandtravelingwavesolutionsfora21dimensionalkdv4equation |