Keywordsexp-function method; exponential function ansätz; non-linear lattice equation; exact solution; mKdV lattice equation; Bariev model; long-range interaction; twist boundary condition; energy spectrum; strongly coupled fluids; Lattice Boltzmann; quantum fluids; lattice Boltzmann; fluid instabilities; chemical reactions; lattice Boltzmann method; bounce-back; electrokinetic flow; electro-osmotic flow; kinetic theory; non-equilibrium statistical mechanics; maximum entropy principle; lattice Boltzmann flux solver; Navier–Stokes equation; lattice Boltzmann equation; incompressible flow; compressible flow; entropy; lattice Boltzmann method; turbulence; lattice Boltzmann method; hydrodynamic force evaluation; momentum exchange method; porous circular cylinder; lattice gas automata; heat transfer; chemical reaction; fluid-structure interaction; lattice Boltzmann model; two-phase transport; microstructure reconstruction; porosity; liquid saturation; electron transport; electron-surfing; donor-acceptor; thermal solitons; solectrons; optical lattices; Bose–Einstein condensates; cold Fermi gases; superfluidity
