Different Facets of PT Symmetry

In this talk I will discuss many interesting developments which have happened mainly in classical mechanics, Integrable models and classical field theory due to PT-symmetry. For example, I will discuss new reflectionless PT-symmetric potentials and hence complex PT-invariant solution of KdV equation. I also discuss new PT-invariant complex periodic solutions of KdV equation and conjecture that these potentials must have novel band structure. I then show that any model which admits kink solution, will always also admit PT-invariant complex kink solution and that it is also topologically stable. I further discuss stability of solitons of Nonlinear Schrodinger equation with PT-invariant complex potentials. I discuss a coupled oscillator model with balanced growth and loss and show that (unlike the single oscillator with friction) it is an Hamiltonian system. Finally I discuss PT-invariant Gross-Neuve model with N =1 (Soler model).