3 papers
math.AP2026
Spectral analysis of small amplitude periodic -Novikov equation under transverse perturbations
Lin Lu, Xiaokai He, Aiyong Chen
This paper is devoted to the transverse stability problem for small-amplitude periodic traveling waves of the -Novikov equation, which arises as a two-dimensional extension of t…
math.AP2026
Modulational instability of small amplitude periodic traveling waves in the -family of Novikov equation
Xin Zhao, Lin Lu, Aiyong Chen
We study the modulational instability of smooth, small-amplitude periodic traveling wave solutions to the -family of Novikov equation with cubic nonlinearity with an arbitrary c…
math.AP2025
Monotonicity of the periodic waves for the perturbed generalized defocusing mKdV equation
Lin Lu, Aiyong Chen, Xiaokai He
In this paper, we study the existence of periodic waves for the perturbed generalized defocusing mKdV equation using the theory of geometric singular perturbation. By Abelian integ…