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.
Original language | English |
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Title of host publication | Application of Mathematics in Technical and Natural Sciences - Proceedings of the 2nd International Conference, AMiTaNS'10 |
Pages | 553-560 |
Number of pages | 8 |
Volume | 1301 |
DOIs | |
Publication status | Published - 2010 |
Event | 2nd International Conference on Application of Mathematics in Technical and Natural Sciences, AMiTaNS'10 - Sozopol, Bulgaria Duration: 21 Jun 2010 → 26 Jun 2010 |
Other
Other | 2nd International Conference on Application of Mathematics in Technical and Natural Sciences, AMiTaNS'10 |
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Country/Territory | Bulgaria |
City | Sozopol |
Period | 21/06/10 → 26/06/10 |
Keywords
- Boussinesq equations
- Christov-spectral Method
- saturation
- solitons