Quantum & Classical Integrable Systems,Dynamical Systems, Soliton, Nonlinear waves, Inverse Scattering Theory, Hirota- bilinearization method; Yang-Baxter Equation (YBE), Braided YBE, Integrable Nonultralocal Models, 1-D Anyon models; Algebraic & Gauge Unification, Quantum Group, Quantum R-matrix; Exactly Solvable Condensed Matter Systems: delta-function bose & anyon gas, Spin chain, Ladder model, Hubbard model, tj-model; Bethe Ansatz: Algebraic, Coordinate, Thermodynamic, Functional; Field models with Topological Charge: Skyrme model, Hopf invariant: Fadeev model, nonlinear sigma model; Long-range integrable models: Calogero model, Gaudin model, Haldane-Shastry model.
Recent Projects:
1. Defect lattice moels: Integrable defect classical and quantum Toda chain
2. Light-beam bending in arbitrary curve, controlled by the boundary conditions of the medium
3. Unravelling hidden dimensions in integrable systems for constructing higher dimensional integrable quantum and classical models
4. Modelling ocean rogue waves through a novel 2+1-D NLS equation
Kundu equation (see https://en.wikipedia.org/wiki/Kundu_equation)
This page also contains:
Kundu Eckhaus quation, RKL equation, 1D anyon model |
