Propagation of nonlinear waves in bi-inductance nonlinear transmission lines

We consider a one-dimensional modified complex Ginzburg-Landau equation, which governs the dynamics of matter waves propagating in a discrete bi-inductance nonlinear transmission line containing a finite number of cells. Employing an extended Jacobi elliptic functions expansion method, we present new exact analytical solutions which describe the propagation of periodic and solitary waves in the considered network. Copyright EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2014