https://doi.org/10.1140/epjb/e2014-50406-8
Regular Article
Propagation of nonlinear waves in bi-inductance nonlinear transmission lines
Département d’informatique et d’ingénierie, Université du Québec en
Outaouais, 101 St-Jean-Bosco, Succursale Hull, Gatineau ( PQ ) J8Y 3G5, Canada
a
e-mail: kengem01@uqo.ca; ekengne6@yahoo.fr
Received:
16
June
2014
Received in final form:
21
August
2014
Published online:
20
October
2014
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.
Key words: Statistical and Nonlinear Physics
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2014