Closed‐Form Meromorphic Solution to Fractional Whitham–Broer–Kaup System and Its Real‐Valued Characterization

ABSTRACT The coupled Whitham–Broer–Kaup system can be used to describe the propagation of shallow water waves in fluid dynamics. In this paper, we investigate the nonlinear conformable fractional‐order Whitham–Broer–Kaup system by complex analytic method and obtain plentiful new closed‐form meromorphic solutions. These derived meromorphic solutions include rational solutions, simply periodic solutions, and elliptic function solutions. At the same time, we give the real‐valued characterizations of such meromorphic solutions and illustrate the dynamic behaviors of these solutions with some graphs.