Abstract
Abstract: First Integral method obtains some exact solution of non-integrable equations as well as integrable ones. This article is concerned with First Integral method for solving the solution of dispersive long wave system. It is worth mentioning that this method is based on the theory of commutative algebra in which division theorem is of concern. To recapitulate, this investigation has resulted in two exact soliton solutions of the given system. In addition, some figures of partial solutions are provided for direct-viewing analysis. The method can also be extended to other types of nonlinear evolution equations in mathematical physics. Keywords : First Integral method; Exact solution; Dispersive long wave (2+1)-dimensional
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