69 citations · 183 across the 10 of their papers we have counts for
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Nonholonomic deformation of KdV and mKdV equations and their symmetries, hierarchies and integrability
Anjan Kundu, R. Sahadevan, L. Nalinidevi
Recent concept of integrable nonholonomic deformation found for the KdV equation is extended to the mKdV equation and generalized to the AKNS system. For the deformed mKdV equation…
Yang-Baxter algebra and generation of quantum integrable models
Anjan Kundu
An operator deformed quantum algebra is discovered exploiting the quantum Yang-Baxter equation with trigonometric R-matrix. This novel Hopf algebra along with its limit a…
A nonlocal connection between certain linear and nonlinear ordinary differential equations/oscillators
V. K. Chandrasekar, M. Senthilvelan, Anjan Kundu +1
We explore a nonlocal connection between certain linear and nonlinear ordinary differential equations (ODEs), representing physically important oscillator systems, and identify a c…
Integrable Hierarchy of Higher Nonlinear Schrödinger Type Equations
Anjan Kundu
Addition of higher nonlinear terms to the well known integrable nonlinear Schrödinger (NLS) equations, keeping the same linear dispersion (LD) usually makes the system nonintegrabl…
Unifying quantization for inhomogeneous integrable models
Anjan Kundu
Integrable inhomogeneous versions of the models like NLS, Toda chain, Ablowitz-Ladik model etc., though well known at the classical level, have never been investigated for their po…
Quantum integrable multi atom matter-radiation models with and without rotating wave approximation
Anjan Kundu
New integrable multi-atom matter-radiation models with and without rotating wave approximation (RWA) are constructed and exactly solved through algebraic Bethe ansatz. The models w…