Abstract
Abstract The objective of this present article is to study the two-component Novikov equation. This
 equation is also known as Geng-Xue equation and is characterized by cubic nonlinearities. By
 applying the multiplier method, new conserved quantities are found, and some traveling wave
 solutions are derived based on the (G′/G )-expansion method. Furthermore, a numerical solution
 is determined by employing the Haar wavelet collocation method. In order to confirm the
 accuracy, this numerical solution is compared with the solution obtained by (G′/G )-expansion
 method. Additionally, the convergence analysis of the Haar wavelet collocation method is also
 presented.
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