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math.NA2023
Error estimates of invariant-preserving difference schemes for the rotation-two-component Camassa--Holm system with small energy
Qifeng Zhang, Jiyuan Zhang, Zhimin Zhang
A rotation-two-component Camassa-Holm (R2CH) system was proposed recently to describe the motion of shallow water waves under the influence of gravity. This is a highly nonlinear a…
math.NA2023
Fully Conservative Difference Schemes for the Rotation-Two-Component Camassa-Holm System with Smooth/Nonsmooth Initial Data
Tong Yan, Jiwei Zhang, Qifeng Zhang
The rotation-two-component Camassa--Holm system, which possesses strongly nonlinear coupled terms and high-order differential terms, tends to have continuous nonsmooth solitary wav…
math.NA2023
The energy method for high-order invariants in shallow water wave equations
Qifeng Zhang, Tongyan, Guang-hua Gao
Third order dispersive evolution equations are widely adopted to model one-dimensional long waves and have extensive applications in fluid mechanics, plasma physics and nonlinear o…