Superposition of soliton, breather and lump waves in a non-painlevé integrabale extension of the Boiti-Leon-Manna-Pempinelli equation

被引：3

作者：

Asadi, Esmaeel ^{[1
,2
]}

Hosseini, Kamyar ^{[3
,4
]}

Madadi, Majid ^{[1
]}

机构：

[1] Inst Adv Studies Basic Sci IASBS, Dept Math, Zanjan 4513766731, Iran

[2] Inst Res Fundamental Sci IPM, Sch Math, POB 19395-5746, Tehran, Iran

[3] Near East Univ TRNC, Dept Math, Mersin, Turkiye

[4] Lebanese Amer Univ, Dept Comp Sci & Math, Beirut, Lebanon

来源：

PHYSICA SCRIPTA | 2024年 / 99卷 / 12期

关键词：

Painlev & eacute; analysis; Bell polynomial; Lax pair; & auml; cklund transformation; Pfaffian solution; soliton wave; Lump wave; BEHAVIOR;

D O I：

10.1088/1402-4896/ad8f74

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, we derive general Nth-order Pfaffian solutions for a ( 3 + 1)-dimensional non-Painlev & eacute; integrable extension of the Boiti-Leon-Manna-Pempinelli ( BLMP ) equation. Specifcally, we obtain Nsoliton, higher-order breather, higher-order lump and hybrid solutions, and explore the superpositions of Y-shaped and X-shaped soliton-breather waves. Moreover, we construct bilinear B & auml;cklund transformations, Lax pairs, and conservation laws using Bell polynomials. Finally, we identify a similar equation in the literature and demonstrate that it represents another non-Painlev & eacute; integrable extension of the BLMP equation.

引用

页数：27

共 54 条

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