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 Bose-Einstein condensates in periodic potentials solitons vortices and topological excitations;
- Numerical simulation;
- solution of equations;
- Integral equations;
- Functional analysis