2 papers
math.AP2024
Orbital Stability of Soliton for the Derivative Nonlinear Schrödinger Equation in the Space
Yiling Yang, Engui Fan, Yue Liu
In this paper, we establish the orbital stability of the 1-soliton solution for the derivative nonlinear Schrödinger equation under perturbations in . We demonstra…
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…