Fourier spectral method for the fractional-in-space coupled Whitham–Broer–Kaup equations on unbounded domain
Li-Fang Zhao,
Wei Zhang
Abstract:Due to the nonlocality of fractional derivatives, the numerical methods for solving nonlinear fractional Whitham–Broer–Kaup (WBK) equations are time-consuming and tedious. Therefore, it is a research hotspot to explore the numerical solution of fractional-order WBK equation. The main goal of this study is to provide an efficient method for the fractional-in-space coupled WBK equations on unbounded domain and discover some novel anomalous transmission behaviors. First, the numerical solution is compared with th… Show more
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