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nlin.SI2023★ 1 cited
Screwon spectral statistics and dispersion relation in the quantum Rajeev-Ranken model
Govind S. Krishnaswami, T. R. Vishnu
The Rajeev-Ranken (RR) model is a Hamiltonian system describing screw-type nonlinear waves (screwons) of wavenumber in a scalar field theory pseudodual to the 1+1D SU(2) princi…
nlin.SI2020★ 2 cited
An introduction to Lax pairs and the zero curvature representation
Govind S. Krishnaswami, T. R. Vishnu
Lax pairs are a useful tool in finding conserved quantities of some dynamical systems. In this expository article, we give a motivated introduction to the idea of a Lax pair of mat…
nlin.SI2019★ 4 cited
Invariant tori, action-angle variables and phase space structure of the Rajeev-Ranken model
Govind S. Krishnaswami, T. R. Vishnu
We study the classical Rajeev-Ranken model, a Hamiltonian system with three degrees of freedom describing nonlinear continuous waves in a 1+1-dimensional nilpotent scalar field the…