<p>Nonlinear dispersion equations are often characterized by complex wave behaviors, such as high-frequency oscillation. Ensuring the physical and numerical consistency of these oscillations is an important challenge in the numerical calculation of these types of equations. In this paper, we introduce a trigonometric multi-resolution weighted essentially non-oscillatory (WENO) scheme, with the goal of accurately and efficiently capturing complex wave structures for dispersive equations. This method employs the finite-difference WENO reconstruction to discretize the dispersion term spatially and combines it with the Lax–Wendroff method for temporal discretization. By introducing trigonometric basis functions into the WENO reconstruction, the physical characteristics of high-frequency oscillations in non-smooth regions are effectively captured and preserved, thereby improving the numerical accuracy and stability of the scheme. Numerical experiments demonstrate that the proposed method has significant advantages in addressing high-frequency oscillations, such as accurately capturing the physical oscillations, reducing numerical oscillations, and achieving high-order accuracy. Thus, the method’s superiority and applicability in solving dispersion equations are verified.</p>