The breather, breather-positon, rogue wave for the reverse space-time nonlocal short pulse equation in nonzero background

被引：1

作者：

Shan, Jiaqing ^{[1
]}

Li, Maohua ^{[1
]}

机构：

[1] Ningbo Univ, Sch Math & Stat, Ningbo 315211, Peoples R China

来源：

WAVE MOTION | 2025年 / 133卷

关键词：

Reverse space-time nonlocal short pulse equation; Degenerate Darboux transformation; Breather-positon; Rogue wave; Nonzero background; COMPLEX SHORT-PULSE; DETERMINANT REPRESENTATION; DARBOUX TRANSFORMATION; SMOOTH POSITONS; KDV EQUATIONS; REAL;

D O I：

10.1016/j.wavemoti.2024.103448

中图分类号：

O42 [声学];

学科分类号：

070206 ; 082403 ;

摘要：

In this paper, by using the Darboux transformation (DT), two types of breather solutions for the reverse space-time (RST) nonlocal short pulse equation are constructed in nonzero background: bounded and unbounded breather solutions. The degenerate DT is obtained by taking the limit of eigenvalues and performing a higher-order Taylor expansion. Then the N order breather-positon solutions are generated through degenerate DT. Some properties of the breather-positon solutions are discussed. Furthermore, rogue wave solutions are derived through the degeneration of breather-positon solutions.

引用

页数：14

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