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- W2076133785 abstract "A new non-linear evolution equation is derived in the continuum limit of a dispersive non-linear transmission line. Since this equation has a similar structure to the Boussinesq equation, but with the non-linear term of higher-order derivatives, it can be called the derivative Boussinesq equation. This equation bears a cusp soliton. A solution for the voltage signal exhibits a shock-wave front. The asymptotic behaviour of this equation is related to the non-linear Schrodinger equation by the reductive perturbation method. Its solitary wave solution is expressed in terms of the bright-envelope soliton. Hence, the non-linear transmission line proposed in the present paper describes the density depression, the collisionless shock wave in plasmas and the modulation instability of the asymptotic wave propagating in this line." @default.
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- W2076133785 date "1987-05-11" @default.
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- W2076133785 title "Cusp solitons, shock waves and envelope solitons in a new non-linear transmission line" @default.
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- W2076133785 doi "https://doi.org/10.1088/0305-4470/20/7/019" @default.
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