Time evolution of perturbed solitons of modified Kadomtsev-Petviashvili equations
ABSTRACT We solve the (2+1)-dimensional Schamel-Kadomtsev- Petviashvili equations with negative and positive dispersion numerically with one or two perturbed plane solitons as initial conditions. In the negative dispersion case, the plane soliton is stable and retains its identity. For the equation with positive dispersion, the plane solitons decay into two- dimensional lump solitons. We show that in contrast to one- dimensional solitons, collisions between two lump solitons are far from elastic. We also demonstrate that the solitons emerging from the collision can be very sensitive to the alignment of the solitons prior to collision.
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ABSTRACT: The time evolution of bright solitons in an ion-acoustic plasma with non-isothermal electrons are determined numerically by using the Crank-Nicolson scheme. Head-on collisions between two solitons with the same and different amplitudes are investigated. Both types of collision are found to be inelastic -- the amplitudes and speeds of the outgoing solitons are a little different from those of the incoming solitons.Computational Science and Its Applications (ICCSA), 2010 International Conference on; 04/2010