Abstract
Nonlinear wave processes in two-wire lines containing an active element with an exponential current-voltage characteristic (CVC) similar to that of a p-n junction are investigated. These lines are models of systems that are encountered in various physical and biological applications, such as biological membranes and semiconductor devices. It is shown that such systems may operate in different modes each of which has different dispersion and dissipation properties and, as a consequence, is described by autowave processes of different types. The behavior of a system in all basic modes is analyzed. For each mode, exact solutions to relevant equations are found and their differential conservation laws and intrinsic symmetries are investigated. One of common properties of such equations is the presence of a special superposition principle that describes the discrete structure of excitations in a line that consist of individual elementary excitations. It is shown that autopulses may be generated in such systems.
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Original Russian Text © V.M. Zhuravlev, 2006, published in Zhurnal Éksperimental’noĭ i Teoreticheskoĭ Fiziki, 2006, Vol. 129, No. 3, pp. 587–604.
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Zhuravlev, V.M. Autowaves in an active two-wire line with exponential current-voltage characteristics. J. Exp. Theor. Phys. 102, 515–530 (2006). https://doi.org/10.1134/S1063776106030149
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DOI: https://doi.org/10.1134/S1063776106030149