文献类型：期刊文献

中文题名：From breather solutions to lump solutions:A construction method for the Zakharov equation

作者：袁丰[1];Behzad Ghanbari[2];张永帅[3];Abdul Majid Wazwaz[4]

机构：[1]College of Science,Nanjing University of Posts and Telecommunications,Nanjing 210023,China;[2]Department of Mathematics,Kermanshah University of Technology,Kermanshah,Iran;[3]Department of Mathematics,Shaoxing University,Shaoxing 312000,China;[4]Department of Mathematics,Saint Xavier University,Chicago,IL 60655,USA

年份：2023

卷号：32

期号：12

起止页码：162

中文期刊名：Chinese Physics B

外文期刊名：中国物理B(英文版)

收录：SCI-EXPANDED(收录号：WOS:001123655100001)、CSTPCD、、Scopus(收录号：2-s2.0-85180337922)、CSCD2023_2024、WOS、CSCD、PubMed

基金：sponsored by NUPTSF (Grant Nos.NY220161 and NY222169);the Foundation of Jiangsu Provincial Double-Innovation Doctor Program (Grant No.JSSCBS20210541);the Natural Science Foundation of the Higher Education Institutions of Jiangsu Province (Grant No.22KJB110004);the National Natural Science Foundation of China (Grant No.12171433)。

语种：中文

中文关键词：Zakharov equation;breather solution;b-positon solution;lump solution

中文摘要：Periodic solutions of the Zakharov equation are investigated.By performing the limit operationλ_(2l-1)→λ_(1)on the eigenvalues of the Lax pair obtained from the n-fold Darboux transformation,an order-n breather-positon solution is first obtained from a plane wave seed.It is then proven that an order-n lump solution can be further constructed by taking the limitλ_(1)→λ_(0)on the breather-positon solution,because the unique eigenvalueλ_(0)associated with the Lax pair eigenfunctionΨ(λ_(0))=0 corresponds to the limit of the infinite-periodic solutions.A convenient procedure of generating higher-order lump solutions of the Zakharov equation is also investigated based on the idea of the degeneration of double eigenvalues in multi-breather solutions.