Generalized Cauchy matrix approach for lattice Boussinesq-type equations
โ Scribed by Songlin Zhao; Dajun Zhang; Ying Shi
- Book ID
- 113082526
- Publisher
- Coastal and Estuarine Research Federation
- Year
- 2012
- Tongue
- English
- Weight
- 167 KB
- Volume
- 33
- Category
- Article
- ISSN
- 1860-6261
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๐ SIMILAR VOLUMES
In this paper, we study the Cauchy problem of generalized Boussinesq equation with combined power-type nonlinearities u tt u xx C u xxxx C f .u/ xx D 0, where f .u/ D P l kD1 a k juj pk 1 u or P l kD1 a k juj pk 1 u P m jD1 b j juj qj 1 u. The arguments powered by potential well method combined with
We show how Van Loan's method for annulling the (2,1) block of skew-Hamiltonian matrices by symplecticorthogonal similarity transformation generalizes to general matrices and provides a numerical algorithm for solving the general quadratic matrix equation: For skew-Hamiltonian matrices we find thei