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Group-invariant solutions, non-group-invariant solutions and conservation laws of Qiao equation
| Content Provider | Semantic Scholar |
|---|---|
| Author | Shi, Jianping Zhou, Meng-Meng Fang, Hui |
| Copyright Year | 2019 |
| Abstract | This paper considers a completely integrable nonlinear wave equation which is called Qiao equation. The equation is reduced via Lie symmetry analysis. Two classes of new exact group-invariant solutions are obtained by solving the reduced equations. Specially, a novel technique is proposed for constructing group-invariant solutions and non-group-invariant solutions based on travelling wave solutions. The obtained exact solutions include a set of traveling wave-like solutions with variable amplitude, variable velocity or both. Nonlocal conservation laws of Qiao equation are also obtained with the corresponding infinitesimal generators. |
| Starting Page | 2023 |
| Ending Page | 2036 |
| Page Count | 14 |
| File Format | PDF HTM / HTML |
| Volume Number | 9 |
| Alternate Webpage(s) | http://jaac.ijournal.cn/ch/reader/create_pdf.aspx?falg=1&file_no=JAAC-2019-0110&quarter_id=5&year_id=2019 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |