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Quasi-periodic solutions for quintic completely resonant derivative beam equations on T2.
- Source :
- Journal of Mathematical Physics; Sep2023, Vol. 64 Issue 9, p1-35, 35p
- Publication Year :
- 2023
-
Abstract
- In the present paper, we consider two dimensional completely resonant, derivative, quintic nonlinear beam equations with reversible structure. Because of this reversible system without external parameters or potentials, Birkhoff normal form reduction is necessary before applying Kolmogorov–Arnold–Moser (KAM) theorem. As application of KAM theorem, the existence of partially hyperbolic, small amplitude, quasi-periodic solutions of the reversible system is proved in this paper. [ABSTRACT FROM AUTHOR]
- Subjects :
- QUINTIC equations
NONLINEAR equations
EQUATIONS
Subjects
Details
- Language :
- English
- ISSN :
- 00222488
- Volume :
- 64
- Issue :
- 9
- Database :
- Complementary Index
- Journal :
- Journal of Mathematical Physics
- Publication Type :
- Academic Journal
- Accession number :
- 172450925
- Full Text :
- https://doi.org/10.1063/5.0154905