Symmetries and Nonlocal Conservation Laws of the General Magma Equation
Blekinge Institute of Technology, School of Engineering, Department of Mathematics and Natural Sciences2009 (English)In: Communications in nonlinear science & numerical simulation, ISSN 1007-5704, Vol. 14, no 11, 3754-3769 p.Article in journal (Refereed) Published
In this paper the general magma equation modelling a melt flow in the Earth's mantle is discussed. Applying the new theorem on nonlocal conservation laws [Ibragimov NH. A new conservation theorem. J Math Anal Appl 2007;333(1):311-28] and using the symmetries of the model equation nonlocal conservation laws are computed. In accordance with Ibragimov [Ibragimov NH. Quasi-self-adjoint differential equations. Preprint in Archives of ALGA, vol. 4, BTH, Karlskrona, Sweden: Alga Publications; 2007. p. 55-60, ISSN: 1652-4934] it is shown that the general magma equation is quasi-self-adjoint for arbitrary m and n and self-adjoint for n = -m. These important properties are used for deriving local conservation laws. © 2008 Elsevier B.V. All rights reserved.
Place, publisher, year, edition, pages
Elsevier BV , 2009. Vol. 14, no 11, 3754-3769 p.
magma equation, nonlocal conservation laws, quasi-self-adjointness, self-adjointness
IdentifiersURN: urn:nbn:se:bth-8320DOI: 10.1016/j.cnsns.2008.08.009ISI: 000266896800008Local ID: oai:bth.se:forskinfo5F6FAF8EB0660F3CC1257515002EB096OAI: oai:DiVA.org:bth-8320DiVA: diva2:836028