Abstract
We develop a Galerkin spectral technique for computing localized solutions of equations with higher order dispersion. To this end, the complete orthonormal system of functions in L2(-∞,∞) proposed by Christov [1] is used. As a featuring example, the Sixth-Order Generalized Boussinesq Equation (6GBE) is investigated whose solutions comprise monotone shapes (sech-es) and damped oscillatory shapes (Kawahara solitons). Localized solutions are obtained here numerically for the case of the moving frame which are used as initial conditions for the time dependent problem.
Original language | English |
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Title of host publication | APPLICATIONS OF MATHEMATICS IN ENGINEERING AND ECONOMICS'33 |
Subtitle of host publication | 33rd International Conference |
Pages | 91-98 |
Number of pages | 8 |
Volume | 946 |
DOIs | |
Publication status | Published - 2007 |
Event | 33rd International Conference on Applications of Mathematics in Engineering and Economics - Sozopol, Bulgaria Duration: 8 Jun 2007 → 14 Jun 2007 |
Other
Other | 33rd International Conference on Applications of Mathematics in Engineering and Economics |
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Country/Territory | Bulgaria |
City | Sozopol |
Period | 8/06/07 → 14/06/07 |
Keywords
- Boussinesq equation
- CCON system
- Christov-Galerkin
- Spectral methods