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The Sylvester Equation and Kadomtsev–Petviashvili System.
- Source :
-
Symmetry (20738994) . Mar2022, Vol. 14 Issue 3, p542-542. 17p. - Publication Year :
- 2022
-
Abstract
- In this paper, we seek connections between the Sylvester equation and Kadomtsev–Petviashvili system. By introducing Sylvester equation L M are bold, please chekc if bold neceaasry, if not, please remove all bold of equation − M K = r s T together with an evolution equation set of r and s , master function S (i , j) = s T K j C (I + M C) − 1 L i r is used to construct the Kadomtsev–Petviashvili system, including the Kadomtsev–Petviashvili equation, modified Kadomtsev–Petviashvili equation and Schwarzian Kadomtsev–Petviashvili equation. The matrix M provides τ -function by τ = | I + M C |. With the help of some recurrence relations, the reductions to the Korteweg–de Vries and Boussinesq systems are discussed. [ABSTRACT FROM AUTHOR]
- Subjects :
- *KADOMTSEV-Petviashvili equation
*SYLVESTER matrix equations
*EQUATIONS
Subjects
Details
- Language :
- English
- ISSN :
- 20738994
- Volume :
- 14
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- Symmetry (20738994)
- Publication Type :
- Academic Journal
- Accession number :
- 156133675
- Full Text :
- https://doi.org/10.3390/sym14030542