Abstract
The extended (G0 /G)-expansion method is significant for finding the exact traveling wave solutions of nonlinear evolution equations (NLEEs) in mathematical physics. In this paper, we inhanced new traveling wave solutions of right-handed non-commutative burg- ers equations via extended (G0 /G)-expansion. Implementation of the method for searching exact solutions of the equation provided many new solutions which can be used to exploy some practically physical and machanical phenomena. Moreover, when the parameters are re- placed by special values, the well-known solitary wave solutions of the equation rediscovered from the traveling wave solutions and included free parameters may imply some physical meaningful results in fluid mechanics, gas dynamics, and traffic flow.
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