Quasi self-adjoint nonlinear wave equations
| Document type: | Journal Articles |
|---|---|
| Article type: | Original article |
| Peer reviewed: | Yes |
| Full text: | |
| Author(s): | Nail H. Ibragimov, M. Torrisi, R. Tracinà |
| Title: | Quasi self-adjoint nonlinear wave equations |
| Journal: | JOURNAL OF PHYSICS A: MATHEMATICAL AND THEORETICAL |
| Year: | 2010 |
| Volume: | 43 |
| Issue: | 44 |
| Pagination: | 442001 (8pp) |
| ISSN: | 1751-8113 |
| Publisher: | IOP Publishing Ltd |
| URI/DOI: | 10.1088/1751-8113/43/44/442001 |
| Organization: | Blekinge Institute of Technology |
| Department: | School of Engineering - Dept. of Mathematics & Natural Sciences (Sektionen för ingenjörsvetenskap - Avd.för matematik och naturvetenskap) School of Engineering S-371 79 Karlskrona +46 455 38 50 00 http://www.bth.se/ing/ |
| Authors e-mail: | nib@bth.se |
| Language: | English |
| Abstract: | In this paper we generalize the classification of self-adjoint second-order linear partial differential equation to a family of nonlinear wave equations with two independent variables. We find a class of quasi self-adjoint nonlinear equations which includes the self-adjoint linear equations as a particular case. The property of a differential equation to be quasi self-adjoint is important, e.g. for constructing conservation laws associated with symmetries of the differential equation. |
| Subject: | Mathematics\Analysis Mathematics\General |
| Keywords: | Quasi self-adjoint nonlinear equations, symmetries, conservation laws |
| Note: | stacks.iop.org/JPhysA/43/442001 |
