Orbital Stability of Soliton for the Derivative Nonlinear Schrödinger Equation in the L^2 Space
arxiv(2024)
摘要
In this paper, we establish the L^2-orbital stability of 1-soliton solution
for the derivative nonlinear Schrödinger equation under perturbations in
L^2(ℝ). We demonstrate this stability by utilizing the Bäcklund
transformation associated with the spectral problem of the Lax pair and by
applying the first conservation quantity in L^2(ℝ).
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