integrable system 3 integrable systems 2 11.10.Lm; 63.20.Ry; 02.30.Ik; 45.20.Jj; 02.30.Zz; 11.30.-j; 05.45.Yv 1 AdS/CFT 1 Darboux–B¨acklund dressing method 1 English 1 Jacobian derivation 1 Lagrangian and Hamiltonian dynamics 1 Lie algebra 1 PACS numbers: 11.10.Lm, 45.05. x, 02.30.Ik, 05.45.Yv, 11.30.-j, 02.30.Oz, 45.20.Jj 1 Primary 17B66 1 Secondary 17B80 1 air conditioning 1 anharmonic lattice modes 1 atmospheric air 1 canonical field variables 1 centralizer 1 conservation laws 1 differential equation 1 energy efficiency 1 greening of the city 1 integrated system 1 iнтеґровнi системи 1 iнтеґровна система 1 microclimate 1 nonlinear dynamics 1 nonlinear lattice 1 nonlinear theories and models 1 nonlinear wave packet 1 quasi-one-dimensional lattice 1