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ZhETF, Vol. 149, No. 6, p. 1278 (June 2016)
(English translation - JETP, Vol. 122, No. 6, p. 1111, June 2016 available online at )

Time fractional effect on ion acoustic shock waves in ion-pair plasma
Abdelwahed H.G., El-Shewy E.K., Aber A.Mahmoud

Received: October 23, 2015

DOI: 10.7868/S0044451016060171

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The nonlinear properties of ion acoustic shock waves are studied. The Burgers equation is derived and converted into the time fractional Burgers equation by Agrawal's method. Using the Adomian decomposition method, shock wave solutions of the time fractional Burgers equation are constructed. The effect of the time fractional parameter on the shock wave properties in ion-pair plasma is investigated. The results obtained may be important in investigating the broadband electrostatic shock noise in D- and F-regions of Earth's ionosphere.

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