C Uma Maheswari
Articles written in Pramana – Journal of Physics
Volume 85 Issue 5 November 2015 pp 807-821
Systematic analytic methods of deriving integrable mappings from integrable nonlinear ordinary differential, differential-difference and lattice equations are presented. More specifically, we explain how to derive integrable mappings through four different techniques namely,
Lax pair approach,
periodic reduction of integrable nonlinear partial difference equations and
construction of sufficient number of integrals of motion.
The applicability of methods have been illustrated through Ricatti equation, a scalar second-order nonlinear ordinary differential equation with cubic nonlinearity, 2- and 3-coupled second-order nonlinear ordinary differential equations with cubic nonlinearity, lattice equations of Korteweg–de Vries, modified Korteweg–deVries and sine-Gordon types.
Volume 96, 2022
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