New exact solutions for the time fractional Broadwell system
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(-φ(ξ))-expansion method. The extended tanh-function method is applied for the classical system and exp(-φ(ξ)) 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.
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