This paper aims to derive analytical solutions of an extended (2+1)-dimensional constant coefficients new
coupled Korteweg–de Vries system. This will be achieved by implementing the classical symmetry method in
conjunction with some simplest equation methods. The simplest equations that will be utilised includes among
others the Bernoulli and Riccati equations. Furthermore, the conservation laws will be constructed through the
multipliers approach, which subsequently reveals the conserved quantities. Moreover, a brief presentation of
results obtained consisting of a variety of profile structures which include the kink type, bell and inverted bell
shaped and singular wave solutions will be discussed.

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