Nonlocal Symmetry, CRE Solvability, and Exact Interaction Solutions of the (2 + 1)-Dimensional Boussinesq Equation
The (2 + 1)-dimensional Boussinesq equation is considered in this study. Nonlocal symmetries of the (2 + 1)-dimensional Boussinesq equation are obtained by means of the truncated Painlevé expansion. The consistent Riccati expansion (CRE) solvability of the Boussinesq equation is derived. Three speci...
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2022/7850824 |
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| author | Sixing Tao |
| author_facet | Sixing Tao |
| author_sort | Sixing Tao |
| collection | DOAJ |
| description | The (2 + 1)-dimensional Boussinesq equation is considered in this study. Nonlocal symmetries of the (2 + 1)-dimensional Boussinesq equation are obtained by means of the truncated Painlevé expansion. The consistent Riccati expansion (CRE) solvability of the Boussinesq equation is derived. Three special forms of soliton-cnoidal wave interaction solutions are discussed analytically and shown graphically. |
| format | Article |
| id | doaj-art-11b4027ff44341c9bb20ad09bbf801ec |
| institution | Kabale University |
| issn | 2314-4785 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-11b4027ff44341c9bb20ad09bbf801ec2025-02-03T01:22:45ZengWileyJournal of Mathematics2314-47852022-01-01202210.1155/2022/7850824Nonlocal Symmetry, CRE Solvability, and Exact Interaction Solutions of the (2 + 1)-Dimensional Boussinesq EquationSixing Tao0School of Mathematics and StatisticsThe (2 + 1)-dimensional Boussinesq equation is considered in this study. Nonlocal symmetries of the (2 + 1)-dimensional Boussinesq equation are obtained by means of the truncated Painlevé expansion. The consistent Riccati expansion (CRE) solvability of the Boussinesq equation is derived. Three special forms of soliton-cnoidal wave interaction solutions are discussed analytically and shown graphically.http://dx.doi.org/10.1155/2022/7850824 |
| spellingShingle | Sixing Tao Nonlocal Symmetry, CRE Solvability, and Exact Interaction Solutions of the (2 + 1)-Dimensional Boussinesq Equation Journal of Mathematics |
| title | Nonlocal Symmetry, CRE Solvability, and Exact Interaction Solutions of the (2 + 1)-Dimensional Boussinesq Equation |
| title_full | Nonlocal Symmetry, CRE Solvability, and Exact Interaction Solutions of the (2 + 1)-Dimensional Boussinesq Equation |
| title_fullStr | Nonlocal Symmetry, CRE Solvability, and Exact Interaction Solutions of the (2 + 1)-Dimensional Boussinesq Equation |
| title_full_unstemmed | Nonlocal Symmetry, CRE Solvability, and Exact Interaction Solutions of the (2 + 1)-Dimensional Boussinesq Equation |
| title_short | Nonlocal Symmetry, CRE Solvability, and Exact Interaction Solutions of the (2 + 1)-Dimensional Boussinesq Equation |
| title_sort | nonlocal symmetry cre solvability and exact interaction solutions of the 2 1 dimensional boussinesq equation |
| url | http://dx.doi.org/10.1155/2022/7850824 |
| work_keys_str_mv | AT sixingtao nonlocalsymmetrycresolvabilityandexactinteractionsolutionsofthe21dimensionalboussinesqequation |