dc.contributor.author |
Mustafa, Omar |
|
dc.date.accessioned |
2016-06-21T10:15:37Z |
|
dc.date.available |
2016-06-21T10:15:37Z |
|
dc.date.issued |
2013-09 |
|
dc.identifier.issn |
1751-8113(print) |
|
dc.identifier.issn |
1751-8121(online) |
|
dc.identifier.uri |
http://dx.doi.org/10.1088/1751-8113/46/36/368001 |
|
dc.identifier.uri |
http://hdl.handle.net/11129/2787 |
|
dc.description |
Due to copyright restrictions, the access to the publisher version (published version) of this article is only available via subscription. You may click URI and have access to the Publisher Version of this article through the publisher web site or online databases, if your Library or institution has subscription to the related journal or publication |
en_US |
dc.description.abstract |
Using a generalized coordinate along with a proper invertible coordinate transformation, we show that the Euler–Lagrange equation used by Bagchi et al (2013 J. Phys. A: Math. Theor. 46 032001) is in clear violation of Hamilton's principle. We also show that the Newton equation of motion they have used is not in a form that satisfies the dynamics of position-dependent mass (PDM) settings. The equivalence between the Euler–Lagrange equation and Newton's equation is now proved and documented through the proper invertible coordinate transformation and the introduction of a new PDM byproducted reaction-type force. The total mechanical energy for the PDM is shown to be conservative (i.e., dE/dt = 0, unlike Bagchi et al's (2013) observation). |
en_US |
dc.language.iso |
eng |
en_US |
dc.publisher |
IOP Publishing |
en_US |
dc.relation.isversionof |
10.1088/1751-8113/46/36/368001 |
en_US |
dc.rights |
info:eu-repo/semantics/closedAccess |
en_US |
dc.subject |
PHYSICS |
en_US |
dc.subject |
MULTIDISCIPLINARY |
en_US |
dc.subject |
MATHEMATICAL |
en_US |
dc.subject |
POTENTIALS |
en_US |
dc.title |
Comment on 'Nonlinear dynamics of a position-dependent mass-driven Duffing-type oscillator' |
en_US |
dc.type |
article |
en_US |
dc.relation.journal |
Journal of Physics A: Mathematical and Theoretical |
en_US |
dc.contributor.department |
Eastern Mediterranean University, Faculty of Art and Sciences, Department of Physics |
en_US |
dc.contributor.authorID |
TR217733 |
en_US |
dc.identifier.volume |
46 |
en_US |
dc.identifier.issue |
36 |
en_US |
dc.identifier.startpage |
1 |
en_US |
dc.identifier.endpage |
5 |
en_US |