Self-adjoint sub-classes of generalized thin film equations
| Document type: | Journal Articles |
|---|---|
| Article type: | Original article |
| Peer reviewed: | Yes |
| Author(s): | MS Bruzon, ML Gandarias, Nail H. Ibragimov |
| Title: | Self-adjoint sub-classes of generalized thin film equations |
| Journal: | Journal of Mathematical Analysis and Applications |
| Year: | 2009 |
| Volume: | 357 |
| Issue: | 1 |
| Pagination: | 307-313 |
| ISSN: | 0022-247X |
| Publisher: | Academic Press |
| URI/DOI: | 10.1016/j.jmaa.2009.04.028 |
| ISI number: | 000266507400030 |
| 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/ |
| Language: | English |
| Abstract: | In this work we consider a class of fourth-order nonlinear partial differential equation containing several tin-specified coefficient functions of the dependent variable which encapsulates various mathematical models used, e.g. for describing the dynamics of thin liquid films. We determine the subclasses of these equations which are self-adjoint. By using a general theorem on conservation laws proved by one of the authors (NHI) we find conservation laws for some of these partial differential equations without Classical Lagrangians. |
| Subject: | Mathematics\General |
| Keywords: | Adjoint equation to nonlinear equations; Lagrangian; Symmetry of adjoint equations; Conservation laws; Thin film equations |
