报告题目：Periodic wave solutions for a KP-MEW equation under delay perturbation

报告人：韦敏志副教授，广西财经学院

报告时间：2024年3月29日（周五）10:00-12:00

报告地点：腾讯会议 912 637 650

报告摘要：In this paper we investigate the uniqueness of periodic wave solutions for a 4-parametric perturbed KP-MEW equation with local strong delay convolution kernel. Applying the geometric singular perturbation theory, a locally invariant manifold is established in a small neighborhood of the critical manifold to transform the singular perturbed system into a regular one. We prove the monotonicity of the ratio of two Abelian integrals and give all conditions for the uniqueness of periodic wave solutions. Moreover, we find that the amplitude and wavelength of this periodic wave change monotonously following monotonous variation of some parameters included in the perturbed KP-MEW equation as shown as in numerical simulations.

报告人简介：韦敏志，现为广西财经学院副教授，主要从事数学物理方程行波解的研究。以第一作者或通讯作者的身份在J. Differential equation, Physica D等刊物上发表SCI论文十余篇。