Articles | Volume 16, issue 2
Nonlin. Processes Geophys., 16, 251–264, 2009
https://doi.org/10.5194/npg-16-251-2009
Nonlin. Processes Geophys., 16, 251–264, 2009
https://doi.org/10.5194/npg-16-251-2009

  07 Apr 2009

07 Apr 2009

Finite Larmor radius influence on MHD solitary waves

E. Mjølhus E. Mjølhus
  • Department of Mathematics and Statistics, University of Tromsø, 9027 Tromsø, Norway

Abstract. MHD solitons are studied in a model where the usual Hall-MHD model is extended to include the finite Larmor radius (FLR) corrections to the pressure tensor. The resulting 4-dimensional set of differential equations is treated numerically. In this extended model, the point at infinity can be of several types. Necessary for the existence of localized solutions is that it is either a saddle-saddle, a saddle-center, or, possibly, a focus-focus. In cases of saddle-center, numerical solutions for localized travelling structures have been obtained, and compared with corresponding results from the Hall-MHD model.