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math.AP2023
On the transverse stability of smooth solitary waves in a two-dimensional Camassa-Holm equation
Anna Geyer, Yue Liu, Dmitry E. Pelinovsky
We consider the propagation of smooth solitary waves in a two-dimensional generalization of the Camassa--Holm equation. We show that transverse perturbations to one-dimensional sol…
math.AP2023
On the global existence for the modified Camassa-Holm equation via the inverse scattering method
Yiling Yang, Engui Fan, Yue Liu
In this paper, we address the existence of global solutions to the Cauchy problem of the modified Camassa-Holm (mCH) equation, which is known as a model for the unidirectional prop…