中北大学学报（自然科学版）2023，Vol.44Issue(6)：583-590,8.DOI:10.3969/j.issn.1673-3193.2023.06.001
耦合Kundu-Eckhaus方程的局域波解及其动力学特性
The Localized Wave Solutions and Its Dynamical Characteristics of a Coupled Kundu-Eckhaus Equation
摘要
Abstract
On the basis of the generalized Darboux transformation,the localized wave solutions of the three-component coupled Kundu-Eckhaus equation were studied and their dynamical characteristics were analyzed.First of all,based on the Darboux matrix and Lax pair of the three-component coupled Kundu-Eckhaus equation,the iterative expression of the localized wave solutions was derived by using the gen-eralized Darboux transformation.Then,according to the classified discussion of the parameters in the expression,the interaction between rogue waves and solitons or breathers was revealed.The evolution diagrams of the first-order and the second-order localized waves were obtained via numerical simulation,and the dynamical characteristics of the localized waves were further analyzed.The results show that different values of the parameters have an influence on the type of localized waves,the distance of inter-action between localized waves,and the propagation direction of localized waves.The results obtained have certain theoretical reference value for the study of higher-order localized waves.关键词
耦合Kundu-Eckhaus方程/广义Darboux变换/孤子/局域波Key words
coupled Kundu-Eckhaus equation/generalized Darboux transformation/solitons/localized waves分类
数理科学引用本文复制引用
刘然,郭明敏,宋妮..耦合Kundu-Eckhaus方程的局域波解及其动力学特性[J].中北大学学报（自然科学版）,2023,44(6):583-590,8.基金项目
国家自然科学基金资助项目(11602232) （11602232）
山西省回国留学人员科研资助项目(2022-150) （2022-150）
山西省自然科学基金资助项目(202203021211086,202203021211088) （202203021211086,202203021211088）
