New interaction solutions in Mel’nikov equation obtained by modulating the phase shift  

作　　者：Mi Chen Zhen Wang 陈觅;王振

机构地区：[1]School of Mathematical Sciences,Dalian University of Technology,Dalian 116024,China [2]School of Mathematical Sciences,Beihang University,Beijing 100191,China

出　　处：《Chinese Physics B》2025年第4期229-236,共8页中国物理B(英文版)

基　　金：Project supported by the National Natural Science Foundation of China(Grant Nos.52171251 and U21062251);Program of Science and Technology Innovation of Dalian(Grant No.2022JJ12GX036).

摘　　要：The degradation and nonlinear interactions of a two-breather solution of the Mel’nikov equation are analyzed.By modulating the phase shift and limit method,we prove that in different regions near the non-singular boundaries,there are four kinds of solutions with repulsive interaction or attractive interaction in addition to the two-breather solution.They are the interaction solution between soliton and breather,the two-soliton solution,and the two-breather solution with small amplitude,which all exhibit repulsive interactions;and the two-breather solution with small amplitude,which exhibits attractive interaction.Interestingly,a new breather acts as a messenger to transfer energy during the interaction between two breather solutions with small amplitude.

关 键 词：Mel’nikov equation breather solution phase shift 

分 类 号：O175.2[理学—数学]