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New similarity solutions for the modified Boussinesq equation
| Content Provider | Scilit |
|---|---|
| Author | Clarkson, P. A. |
| Copyright Year | 1989 |
| Description | Journal: Journal of Physics A: General Physics In this paper the author presents some new similarity solutions of the modified Boussinesq equation, which is a completely integrable soliton equation. These new similarity solutions include reductions to the second and fourth Painleve equations which are not obtainable using the standard Lie group method for finding group-invariant solutions of partial differential equations; they are determined using a new and direct method which involves no group theoretical techniques. |
| Related Links | http://iopscience.iop.org/article/10.1088/0305-4470/22/13/029/pdf |
| Ending Page | 2367 |
| Page Count | 13 |
| Starting Page | 2355 |
| ISSN | 00223689 |
| DOI | 10.1088/0305-4470/22/13/029 |
| Journal | Journal of Physics A: General Physics |
| Issue Number | 13 |
| Volume Number | 22 |
| Language | English |
| Publisher | IOP Publishing |
| Publisher Date | 1989-07-07 |
| Access Restriction | Open |
| Subject Keyword | Journal: Journal of Physics A: General Physics Direct Method Partial Differential Equation Lie Group Boussinesq Equation |
| Content Type | Text |
| Resource Type | Article |