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Travelling wave solutions and simulation of the Lonngren wave equation for tunnel diode

机译：隧道二极管LONNGREN波动方程的行进波解决方案

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摘要

In this study, the Lonngren wave equation, which models electrical signals in a kind of semiconductor material called tunnel diode, is considered. By applying the (l/G′expansion method successfully to this non-linear equation, hyperbolic type travelling wave solutions are produced. By presenting the relations between the coefficient of the non-linearity term and other parameters, the effects of these terms on the wave behaviour in the solution obtained are presented with the help of graphs and simulations. Also, the effect of the conductivity of the model on the propagation and distribution of electrical signals are physically discussed by giving special values to the constants in the solutions.
机译：在本研究中，考虑了Lonngren波浪方程，其在称为隧道二极管的一种半导体材料中的电信号。 通过将（L / G'Expansion方法成功地应用于该非线性方程，产生双曲型行波解决方案。通过呈现非线性术语系数与其他参数之间的关系，这些术语对的影响 在图表和仿真的帮助下提出了所获得的解决方案中的波浪行为。此外，模型对电信号传播和分布的效果通过对解决方案中的常数提供特殊值来进行物理讨论。

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