Spectral analysis of the periodic b-KP equation under transverse perturbations

• Published in: Mathematische annalen Vol. 390; no. 4; pp. 6315 - 6354
• Main Authors: Chen, Robin Ming, Fan, Lili, Wang, Xingchang, Xu, Runzhang
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.12.2024; Springer Nature B.V
• Subjects: Longitudinal waves; Mathematics; Mathematics and Statistics; Parameters; Perturbation; Spectrum analysis; Stability analysis; Stability criteria; Traveling waves; Two dimensional analysis; Wave dispersion; Wave propagation; 37K45; 35B35; 35C07

The b -family-Kadomtsev–Petviashvili equation ( b -KP) is a two dimensional generalization of the b -family equation. In this paper, we study the spectral stability of the one-dimensional small-amplitude periodic traveling waves with respect to two-dimensional perturbations which are either co-perio...