Abstract
A complete orthonormal system of functions in L2 (-∞ ∞) is used as a basis function in a Fourier-Galerkin spectral technique for computing localized solutions. The Sixth-Order Generalized Boussinesq Equation is featured whose solutions comprise monotone shapes (sech-es) and damped oscillatory shapes (Kawahara solitons). Localized solutions are obtained here numericall and shown to agree quantitatively very well to the known analytical and/or numerical ones. The rate of convergence and truncation error are thoroughly examined.
Original language | English |
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Title of host publication | Proceedings of the International Conference on Dynamical Systems and Differential Equations |
Publisher | American Institute of Mathematical Sciences |
Pages | 121-130 |
Number of pages | 10 |
Edition | SPEC. ISSUE |
Publication status | Published - 2001 |
Event | 2000 International Conference on Dynamical Systems and Differential Equations - Atlanta, GA, United States Duration: 18 May 2000 → 21 May 2000 |
Other
Other | 2000 International Conference on Dynamical Systems and Differential Equations |
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Country/Territory | United States |
City | Atlanta, GA |
Period | 18/05/00 → 21/05/00 |