3 papers
math.AP2026
Finite-data inverse nodal optimization in angular-momentum sectors of Schrödinger operators
Xijun Deng, Zhisu Liu, Yonghui Xia
In this paper, we study a finite-data inverse nodal optimization problem for radial Schrödinger operators in an arbitrary fixed angular-momentum sector. The analysis is built direc…
math.AP2026
Orbital Stability of Smooth Traveling Solitary Waves to the Fornberg-Whitham Equation
Xijun Deng, Stephane Lafortune, Zhisu Liu
The Fornberg-Whitham (FW) equation was introduced by Fornberg and Whitham [Fornberg and Whitham, Phil. Trans. R. Soc. Lond. A (1978)] as a nonlocal model for unidirectional shallow…
math.AP2024
Spectral instability of peakons for the -family of Novikov equations
Xijun Deng, Stéphane Lafortune
In this paper, we are concerned with a one-parameter family of peakon equations with cubic nonlinearity parametrized by a parameter usually denoted by the letter . This family i…