Electrical solitary waves on a transmission line periodically loaded with resonant tunneling diodes using some different methods

The characteristics of dissipative nonlinear transmission line (NLTL) periodically loaded with resonant tunneling diode (RTD) are discussed pertaining to the development of solitons. This line is highly dissipative, and thus, when appropriately designed, it reduces dissipative effect introduced by RTD so as to support solitons on long distance. The reductive perturbation technique in the limit of the continuum approximation is applied to the dissipative NLTL equation. As a result, the expanded Schamel–Korteweg–de Vries–Burgers (ES-KdVB) equation governs wave properties at long wavelengths. Furthermore, we subsequently applied extended ( G ʹ/ G )-expansion method, simplest equation method, exp( - w ( ξ ) )-expansion method and modified auxiliary equation method in order to obtain analytical solutions of the S-KdVB equation in terms of kink and antikink solitons. Thereby, by using the modeled network, the stability analysis of analytical solutions relating thereto is investigated on the basis of the Hamiltonian system along with parameters effects on the transmission of modulated waves. Finally, the paramount role of RTD in the wave amplification is highlighted on the active and dissipative NLTL as soliton propagates by using numerical calculations based on the finite-difference time-domain method .