Some Boussinesq Equations with Saturation
Abstract
We investigate numerically some Boussinesq type equations with square or cubic and saturated nonlinearity. We examine the propagation, interaction and overtake interaction of soliton solutions. Moreover, we examine the effect of the saturation term on the solution and compare it with the classical case of the square or cubic nonlinearity without saturation. We calculate numerically the phase shift experienced by the solitons upon collision and conclude the impact of saturation.
 Publication:

Application of Mathematics in Technical and Natural Sciences
 Pub Date:
 November 2010
 DOI:
 10.1063/1.3526657
 Bibcode:
 2010AIPC.1301..553C
 Keywords:

 Schroedinger equation;
 solitons;
 numerical analysis;
 integral equations;
 functional analysis;
 03.65.Pm;
 03.75.Lm;
 02.60.Cb;
 02.30.Rz;
 02.30.Sa;
 Relativistic wave equations;
 Tunneling Josephson effect BoseEinstein condensates in periodic potentials solitons vortices and topological excitations;
 Numerical simulation;
 solution of equations;
 Integral equations;
 Functional analysis