2 citations · 3 across the 2 of their papers we have counts for
3 papers
math-ph2021★ 1 cited
Integrability and dynamics of the Rajeev-Ranken model
T R Vishnu
This thesis concerns the dynamics and integrability of the Rajeev-Ranken (RR) model, a mechanical system with 3 degrees of freedom describing screw-type nonlinear wave solutions of…
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
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…