Stability of solitons in Hall plasmas

Michael Ruderman ,  University of Sheffield

Depending on the direction of propagation with respect to the ambient magnetic field,
solitons in Hall plasmas are decribed either by the KdV, the modified KdV (mKdV), or the DNLS equation.
All these are well-known soliton equations of mathematica physics.
The stability of solitons propagating in Hall plasmas with respect to weakly non-onedimensional perturbations are studied
with the use of non-onedimensional modifications of the KdV (KP equation), mKdV, or DNLS equations.