Abstract
In this paper, we consider the discrete kinetic Broadwell system. The Broadwell system is the kinetic Boltzmann equation, and for this model momentum is conserved but energy is not. For the first time, new traveling wave solutions are found using the extended tanh-function method and the $\exp(-\varphi(\xi))$-expansion method. The extended tanh-function method is applied for the classical system and $\exp(-\varphi(\xi))$ for the fractional order. With the help of computerized symbolic computation, we obtain new solutions. Similarly, it is possible to find exact solutions for other kinetic models.
Version Information
The current pdf replaces the original pdf file, first available on 5 April 2022. The new version corrects the DOI prefix to read 10.32513.
Citation
S. A. Dukhnovsky. "New exact solutions for the time fractional Broadwell system." Adv. Studies: Euro-Tbilisi Math. J. 15 (1) 53 - 66, March 2022. https://doi.org/10.32513/asetmj/19322008204
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