Leapfrogging solitary waves in coupled traveling-wave field-effect transistors

  • Koichi NaraharaEmail author
Original Paper


Leapfrogging solitary waves are characterized in two capacitively coupled traveling-wave field-effect transistors (TWFETs). The coupling implies that a nonlinear solitary wave moving on one of the devices is bounded with the wave moving on the other one, which results in the periodic amplitude/phase oscillation called leapfrogging. In conservative systems, the oscillation energy of leapfrogging is converted to the generation of radiative waves; hence, leapfrogging is shown to cease in finite duration. This study investigated the possibility of amplification of moving solitary waves to stabilize leapfrogging in coupled TWFETs. First, coupled Korteweg–de Vries equations with perturbation were derived to verify the limit-cycle dynamics of the soliton’s amplitude and phase corresponding to the stable leapfrogging. We then numerically solved the transmission equations of the coupled TWFETs to validate stable leapfrogging in practical situations.


Leapfrogging pulses Soliton resonances Reductive perturbation Dissipative solitons Traveling-wave field-effect transistors 


Compliance with ethical standards

Conflict of interest

The author declares that he has no conflict of interest.


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© Springer Nature B.V. 2019

Authors and Affiliations

  1. 1.Department of Electrical and Electronic EngineeringKanagawa Institute of TechnologyAtsugiJapan

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