Logarithmic Schrödinger-like equation as a model for magma transport
Abstract
We show that, under a suitable assumption on the pressure tensor, the mass and momentum balance equations of hydrodynamical theory, introduced in the early 1980s by many authors to describe matrix separation, yield the equations of the Madelung fluid that are equivalent to the Schrödinger-like equation with logarithmic nonlinearity. This equation has solitary-waves solutions as required by many experimental volcanic models.
- Publication:
-
EPL (Europhysics Letters)
- Pub Date:
- August 2003
- DOI:
- 10.1209/epl/i2003-00547-6
- Bibcode:
- 2003EL.....63..472D
- Keywords:
-
- 91.40.Ft;
- 47.10.+g;
- 05.45.Yv;
- Eruption mechanisms;
- Solitons