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math.AP2023
Wave breaking in the unidirectional non-local wave model
Shaojie Yang, Jian Chen
In this paper we study wave breaking in the unidirectional non-local wave model describing the motion of a collision-free plasma in a magnetic field. By analyzing the monotonicity…
math.AP2023
Existence and stability of solitary waves to the rotation-Camassa-Holm equation
Hao Tong, Shaojie Yang
In this paper, we investigate existence and stability of solitary waves to the rotation-Camassa-Holm equation which can be considered as a model in the shallow water for the long-c…
math.AP2023★ 1 cited
Wave breaking for the Kakutani-Matsuuchi model
Shaojie Yang, Jianmin Zhao
In this paper, we consider the Kakutani-Matsuuchi model which describes the surface elevation of the water-waves under the effect of viscosity. We show wave breaking for the Kakuta…