The Solutions of Initial (-Boundary) Value Problems for Sharma-Tasso-Olver Equation
A nonlinear transformation from the solution of linear KdV equation to the solution of Sharma-Tasso-Olver (STO) equation is derived out by using simplified homogeneous balance (SHB) method. According to the nonlinear transformation derived here, the exact explicit solution of initial (-boundary) val...
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-01-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/10/3/441 |
| _version_ | 1797486400446136320 |
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| author | Lingxiao Li Mingliang Wang Jinliang Zhang |
| author_facet | Lingxiao Li Mingliang Wang Jinliang Zhang |
| author_sort | Lingxiao Li |
| collection | DOAJ |
| description | A nonlinear transformation from the solution of linear KdV equation to the solution of Sharma-Tasso-Olver (STO) equation is derived out by using simplified homogeneous balance (SHB) method. According to the nonlinear transformation derived here, the exact explicit solution of initial (-boundary) value problem for STO equation can be constructed in terms of the solution of initial (-boundary) value problem for the linear KdV equation. The exact solution of the latter problem is obtained by using Fourier transformation. |
| first_indexed | 2024-03-09T23:32:42Z |
| format | Article |
| id | doaj.art-f02653ad506246618d4492d5d40b8d6d |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-09T23:32:42Z |
| publishDate | 2022-01-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-f02653ad506246618d4492d5d40b8d6d2023-11-23T17:07:33ZengMDPI AGMathematics2227-73902022-01-0110344110.3390/math10030441The Solutions of Initial (-Boundary) Value Problems for Sharma-Tasso-Olver EquationLingxiao Li0Mingliang Wang1Jinliang Zhang2School of Mathematics & Statistics, Henan University of Science & Technology, Luoyang 471000, ChinaSchool of Mathematics & Statistics, Henan University of Science & Technology, Luoyang 471000, ChinaSchool of Mathematics & Statistics, Henan University of Science & Technology, Luoyang 471000, ChinaA nonlinear transformation from the solution of linear KdV equation to the solution of Sharma-Tasso-Olver (STO) equation is derived out by using simplified homogeneous balance (SHB) method. According to the nonlinear transformation derived here, the exact explicit solution of initial (-boundary) value problem for STO equation can be constructed in terms of the solution of initial (-boundary) value problem for the linear KdV equation. The exact solution of the latter problem is obtained by using Fourier transformation.https://www.mdpi.com/2227-7390/10/3/441STO equationnonlinear transformationSHB methodsolution of initial (-boundary) value problemlinear KdV equationFourier transformation |
| spellingShingle | Lingxiao Li Mingliang Wang Jinliang Zhang The Solutions of Initial (-Boundary) Value Problems for Sharma-Tasso-Olver Equation Mathematics STO equation nonlinear transformation SHB method solution of initial (-boundary) value problem linear KdV equation Fourier transformation |
| title | The Solutions of Initial (-Boundary) Value Problems for Sharma-Tasso-Olver Equation |
| title_full | The Solutions of Initial (-Boundary) Value Problems for Sharma-Tasso-Olver Equation |
| title_fullStr | The Solutions of Initial (-Boundary) Value Problems for Sharma-Tasso-Olver Equation |
| title_full_unstemmed | The Solutions of Initial (-Boundary) Value Problems for Sharma-Tasso-Olver Equation |
| title_short | The Solutions of Initial (-Boundary) Value Problems for Sharma-Tasso-Olver Equation |
| title_sort | solutions of initial boundary value problems for sharma tasso olver equation |
| topic | STO equation nonlinear transformation SHB method solution of initial (-boundary) value problem linear KdV equation Fourier transformation |
| url | https://www.mdpi.com/2227-7390/10/3/441 |
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