Lump Solutions of a Nonlinear PDE Combining with a New Fourth-Order Term Dx2Dt2∗
A nonlinear PDE combining with a new fourth-order term Dx2Dt2 is studied. Adding three new fourth-order derivative terms and some second-order derivative terms, we formulate a combined fourth-order nonlinear partial differential equation, which possesses a Hirota’s bilinear form. The class of lump s...
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2020/3542320 |
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| _version_ | 1849308626365186048 |
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| author | Liqin Zhang Wen-Xiu Ma Yehui Huang |
| author_facet | Liqin Zhang Wen-Xiu Ma Yehui Huang |
| author_sort | Liqin Zhang |
| collection | DOAJ |
| description | A nonlinear PDE combining with a new fourth-order term Dx2Dt2 is studied. Adding three new fourth-order derivative terms and some second-order derivative terms, we formulate a combined fourth-order nonlinear partial differential equation, which possesses a Hirota’s bilinear form. The class of lump solutions is constructed explicitly through Hirota’s bilinear method. Their dynamical behaviors are analyzed through plots. |
| format | Article |
| id | doaj-art-0da67eb822dc405bb2f430ee406206bf |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-0da67eb822dc405bb2f430ee406206bf2025-08-20T03:54:24ZengWileyAdvances in Mathematical Physics1687-91201687-91392020-01-01202010.1155/2020/35423203542320Lump Solutions of a Nonlinear PDE Combining with a New Fourth-Order Term Dx2Dt2∗Liqin Zhang0Wen-Xiu Ma1Yehui Huang2College of Information Science and Artificial Intelligence, Xiamen Institute of Technology, Xiamen 361021, Fujian, ChinaDepartment of Mathematics and Statistics, University of South Florida, Tampa, FL 33620, USADepartment of Mathematics and Statistics, University of South Florida, Tampa, FL 33620, USAA nonlinear PDE combining with a new fourth-order term Dx2Dt2 is studied. Adding three new fourth-order derivative terms and some second-order derivative terms, we formulate a combined fourth-order nonlinear partial differential equation, which possesses a Hirota’s bilinear form. The class of lump solutions is constructed explicitly through Hirota’s bilinear method. Their dynamical behaviors are analyzed through plots.http://dx.doi.org/10.1155/2020/3542320 |
| spellingShingle | Liqin Zhang Wen-Xiu Ma Yehui Huang Lump Solutions of a Nonlinear PDE Combining with a New Fourth-Order Term Dx2Dt2∗ Advances in Mathematical Physics |
| title | Lump Solutions of a Nonlinear PDE Combining with a New Fourth-Order Term Dx2Dt2∗ |
| title_full | Lump Solutions of a Nonlinear PDE Combining with a New Fourth-Order Term Dx2Dt2∗ |
| title_fullStr | Lump Solutions of a Nonlinear PDE Combining with a New Fourth-Order Term Dx2Dt2∗ |
| title_full_unstemmed | Lump Solutions of a Nonlinear PDE Combining with a New Fourth-Order Term Dx2Dt2∗ |
| title_short | Lump Solutions of a Nonlinear PDE Combining with a New Fourth-Order Term Dx2Dt2∗ |
| title_sort | lump solutions of a nonlinear pde combining with a new fourth order term dx2dt2∗ |
| url | http://dx.doi.org/10.1155/2020/3542320 |
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