Bilinear Auto-Backlund Transformations and Similarity Reductions for a (3+1)-dimensional Generalized Yu-Toda-Sasa-Fukuyama System in Fluid Mechanics and Lattice Dynamics

被引：21

作者：

Gao, Xin-Yi ^{[1
,2
]}

Guo, Yong-Jiang ^{[1
,2
]}

Shan, Wen-Rui ^{[1
,2
]}

机构：

[1] Beijing Univ Posts & Telecommun, State Key Lab Informat Photon & Opt Commun, Beijing 100876, Peoples R China

[2] Beijing Univ Posts & Telecommun, Sch Sci, Beijing 100876, Peoples R China

来源：

QUALITATIVE THEORY OF DYNAMICAL SYSTEMS | 2022年 / 21卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Two-layer liquid; Lattice; (3+1)-dimensional generalized Yu-Toda-Sasa-Fukuyama system; Bilinear auto-Backlund transformations; Similarity reductions; Symbolic computation; KADOMTSEV-PETVIASHVILI EQUATION; WAVE SOLUTIONS; SOLITONS; PLASMA; LUMP;

D O I：

10.1007/s12346-022-00622-w

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Recent investigations on the liquids and lattices are both active. In this paper, with symbolic computation, we consider a (3+1)-dimensional generalized Yu-Toda-Sasa-Fukuyama system for the interfacial waves in a two-layer liquid or elastic waves in a lattice, with two sets of the bilinear auto-Backlund transformations hereby built up. Moreover, we construct one set of the similarity reductions, from that system to a known ordinary differential equation. As for the amplitude or elevation of the relevant wave, our results rely on the coefficients in that system.

引用

页数：16

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