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A(2+1)-dimensional nonlinear partial differential evolution(NLPDE)equation is presented as a model equation for relaxing high-rate processes in active barothropic media.With the aid of symbolic computation and Hirotas method,some typical solitary wave solutions to this(2+1)-dimensional NLPDE equation are unearthed.As a result,depending on the dissipative parameter,single and multivalued solutions are depicted.