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A Finite-Dimensional Integrable System Related to the Kadometsev–Petviashvili Equation.
- Source :
- Mathematics (2227-7390); Nov2023, Vol. 11 Issue 21, p4539, 10p
- Publication Year :
- 2023
-
Abstract
- In this paper, the Kadometsev–Petviashvili equation and the Bargmann system are obtained from a second-order operator spectral problem L φ = (∂ 2 − v ∂ − λ u) φ = λ φ x . By means of the Euler–Lagrange equations, a suitable Jacobi–Ostrogradsky coordinate system is established. Using Cao's method and the associated Bargmann constraint, the Lax pairs of the differential equations are nonlinearized. Then, a new kind of finite-dimensional Hamilton system is generated. Moreover, involutive representations of the solutions of the Kadometsev–Petviashvili equation are derived. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 22277390
- Volume :
- 11
- Issue :
- 21
- Database :
- Complementary Index
- Journal :
- Mathematics (2227-7390)
- Publication Type :
- Academic Journal
- Accession number :
- 173568779
- Full Text :
- https://doi.org/10.3390/math11214539