Decomposition, Darboux transformation and soliton solutions for the (2+1)-dimensional integrable nonlocal "breaking soliton" equation

被引:5
|
作者
Zhu, Xiaoming [1 ]
Tian, Kelei [2 ]
机构
[1] Univ Sci & Technol China, Sch Math Sci, Hefei 230026, Anhui, Peoples R China
[2] Hefei Univ Technol, Sch Math, Hefei 230009, Anhui, Peoples R China
来源
MODERN PHYSICS LETTERS B | 2020年 / 34卷 / 24期
关键词
Nonlocal "breaking soliton" equation; integrability; decomposition; Darboux transformation; soliton solutions; NONLINEAR SCHRODINGER SYSTEM; ORDER DISPERSION OPERATORS; EXPLICIT SOLUTIONS; ROGUE WAVE; SCATTERING; TRANSITION; BREATHER;
D O I
10.1142/S0217984920502516
中图分类号
O59 [应用物理学];
学科分类号
摘要
In this paper, we investigate an integrable nonlocal "breaking soliton" equation, which can be decomposed into the nonlocal nonlinear Schrodinger equation and the nonlocal complex modified Korteweg-de Vries equation. As an application, with the use of this decomposition and Darboux transformation, the dark solitons, antidark solitons, rational dark solitons and rational antidark solitons of the considered equation are given explicitly. In particular, the interaction mechanisms of these solutions are discussed and illustrated through some figures.
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页数:12
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