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nlin.SI2026
Symmetries of the Generalized Yang--Baxter Equations
Pramod Padmanabhan, Somnath Maity, Akash Sinha +1
The generalized Yang-Baxter equations are multi-site versions of the standard Yang-Baxter equation. When spectral parameters are included, such equations are expected to lead to in…
nlin.SI2024
First integrals of some two-dimensional integrable Hamiltonian systems
Aritra Ghosh, Akash Sinha, Bijan Bagchi
In this paper, we discuss some results on integrable Hamiltonian systems with two degrees of freedom. We revisit the much-studied problem of the two-dimensional harmonic oscillator…
nlin.SI2023★ 3 cited
Jacobi last multiplier and two-dimensional superintegrable oscillators
Akash Sinha, Aritra Ghosh
In this paper, we examine the role of the Jacobi last multiplier in the context of two-dimensional oscillators. We first consider two-dimensional unit-mass oscillators admitting a…