Coherent structure of Alice-Bob modified Korteweg de-Vries equation

被引：25

作者：

Li, Congcong ^{[1
,2
]}

Lou, S. Y. ^{[1
,2
,3
]}

Jia, Man ^{[1
,2
]}

机构：

[1] Ningbo Univ, Ctr Nonlinear Sci, Ningbo 315211, Zhejiang, Peoples R China

[2] Ningbo Univ, Dept Phys, Ningbo 315211, Zhejiang, Peoples R China

[3] East China Normal Univ, Shanghai Key Lab Trustworthy Comp, Shanghai 200062, Peoples R China

来源：

NONLINEAR DYNAMICS | 2018年 / 93卷 / 04期

关键词：

Nonlinear nonlocal partial differential equations; Darboux transformations; Exact solutions; solitons; Rogue waves; NONLINEAR SCHRODINGER-EQUATIONS; SOLITON-SOLUTIONS; INTEGRABILITY;

D O I：

10.1007/s11071-017-3895-1

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

To describe two-place events, Alice-Bob systems have been established by means of the shifted parity and delayed time reversal in the preprint this paper, we mainly study exact solutions of the integrable Alice-Bob modified Korteweg de-Vries (AB-mKdV) system. The general Nth Darboux transformation for the AB-mKdV equation is constructed. By using the Darboux transformation, some types of shifted parity and time reversal symmetry breaking solutions including one-soliton, two-soliton, and rogue wave solutions are explicitly obtained. In addition to the similar solutions of the mKdV equation (group invariant solutions), there are abundant new localized structures for the AB-mKdV systems.

引用

页码：1799 / 1808

页数：10

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