Propagation of nonlinear waves in bi-inductance nonlinear transmission lines

We consider a one-dimensional modified complex Ginzburg-Landau equation, which governsthe dynamics of matter waves propagating in a discrete bi-inductance nonlineartransmission line containing a finite number of cells. Employing an extended Jacobielliptic functions expansion method, we present new exact analytical solutions whichdescribe the propagation of periodic and solitary waves in the considered network.