4 papers
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…
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…
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…
Stability of smooth periodic travelling waves in the Dullin-Gottwald-Holm equation
Xiaokai He, Aiyong Chen, Gengrong Zhang
The existence of smooth periodic traveling solutions in the Dullin-Gottwald-Holm (DGH) equation and the monotonicity of the period function are clarified. By introducing two suitab…