文献类型：期刊文献

英文题名：Breather solutions and higher-order rogue wave solutions to the modified complex short pulse equation

作者：Lv, Cong[1];Qiu, Deqin[2];Zhang, Yongshuai[3]

机构：[1]Zhejiang Univ, Sch Math Sci, Hangzhou 310027, Zhejiang, Peoples R China;[2]Huizhou Univ, Sch Math & Stat, Huizhou 516007, Guangdong, Peoples R China;[3]Shaoxing Univ, Dept Math, Shaoxing, Zhejiang, Peoples R China

年份：2025

卷号：171

外文期刊名：APPLIED MATHEMATICS LETTERS

收录：SCI-EXPANDED(收录号：WOS:001525439900001)、、EI(收录号：20252618693482)、Scopus(收录号：2-s2.0-105009225074)、WOS

基金：This work was supported by the National Natural Science Foundation of China (Grant Nos. 12301308, 12171433) . This work was supported by the Doctoral research foundation project of Huizhou University, PR China (Grant No. 2022JB039) .

语种：英文

外文关键词：Modified complex short pulse equation; Darboux transformation; Higher-order rogue wave solution

外文摘要：Breather solutions and higher-order rogue wave solutions with two arbitrary parameters a and c of the modified complex short pulse (mcSP) equation are generated based on the reciprocal transformation and the Darboux transformation. We construct the nth-order Darboux transformation in terms of determinants whose entries are represented by initial eigenfunctions and seed solutions. Furthermore, the formulae for the higher-order rogue wave solutions of the mcSP equation are obtained by using the Taylor expansion with the help of degenerate root eigenvalues lambda j -> a2c -ia 1-4a2c2 2 , j = 1, 2, ... , n. The analyticity of first-order rogue wave solution is studied. Some figures illustrate dynamic structures of the rogue waves from the first to the third order. The effect of the choice of parameters on the rogue waves are specifically discussed.