Modified non-linear Schrödinger models, $\mathcal{C}{\mathcal{P}}_s{\mathcal{T}}_d$ invariant $N-$bright solitons and infinite towers of anomalous charges

H. Blas, M. Cerna Maguiña, L. F. dos Santos

Modifications of the non-linear Schrödinger model (MNLS) $i{\partial }_t\psi (x,t)+{\partial }_x^2\psi (x,t)-[\frac{\delta V}{\delta |\psi {|}^2}]\psi (x,t)=0,$ where $\psi \in C$ and $V: R_{+} \rightarro…