文献类型：期刊文献

英文题名：State transitions for the rational solutions of Kundu equation with non-zero boundary conditions

作者：Qiu, Deqin[1];Zhang, Yongshuai[2];Liu, Wei[3,4]

机构：[1]Huizhou Univ, Sch Math & Stat, Huizhou, Guangdong, Peoples R China;[2]Shaoxing Univ, Dept Math, Shaoxing, Zhejiang, Peoples R China;[3]Shandong Technol & Business Univ, Coll Math & Informat Sci, Yantai, Shandong, Peoples R China;[4]Yantai Key Lab Big Data Modeling & Intelligent Com, Yantai, Shandong, Peoples R China

年份：2025

卷号：161

外文期刊名：APPLIED MATHEMATICS LETTERS

收录：SCI-EXPANDED(收录号：WOS:001359279800001)、、EI(收录号：20244717378402)、Scopus(收录号：2-s2.0-85208912681)、WOS

基金：Acknowledgments This work was supported by the National Natural Science Foundation of China (Grant No. 12301308) . This work was supported by the Doctoral research foundation project of Huizhou University, PR China (Grant No. 2022JB039) , Fundamental Research Projects of Science and Technology Innovation and Development Plan in Yantai City, PR China (Grant No. 2023YT06000660) , and the Project of Guangdong Provincial Department of Education, PR China (Grant No. 2021ZDJS080) .

语种：英文

外文关键词：Kundu equation; Rational solutions; Non-zero boundary condition; State transitions

外文摘要：Several novel rational solutions with nonzero boundary condition for the Kundu equation, which is an important physical model, are derived using the technique of generalized Darboux transformation. It is the first time that a systemic analysis has been conducted on such rational solutions for the Kundu equation. For the 1-order rational solutions with nonzero boundary conditions, our findings reveal that three parameters, a , b , and f , which are associated with the effects of self-steepening, self-phase modulation, and quintic nonlinearity in the Kundu equation, can result in four distinct states for case B and five distinct states for case C, all corresponding to rational solutions with nonzero boundary conditions.