A study on an integrable system of coupled KdV equations
β Scribed by Abdul-Majid Wazwaz
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 165 KB
- Volume
- 15
- Category
- Article
- ISSN
- 1007-5704
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β¦ Synopsis
a b s t r a c t
In this work, we study a system of coupled KdV equations. The Hirota's bilinear method is applied to show that this system is completely integrable. Multiple-soliton solutions and multiple singular soliton solutions are derived for this system. The resonance phenomenon is examined as well.
π SIMILAR VOLUMES
A new discrete two-by-two matrix spectral problem with two potentials is introduced, followed by a hierarchy of integrable lattice equations obtained through discrete zero curvature equations. It is shown that the Hamiltonian structures of the resulting integrable lattice equations are established b
An iterative solver for a pair of coupled partial differential equations that are related to the Maxwell equations is discussed. The convergence of the scheme depends on the choice of two parameters. When the first parameter is fixed, the scheme is seen to be a successive under-relaxation scheme in