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.
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页数：16
相关论文
共 80 条
[1]   Dynamics of Second Order Lattice Systems with Almost Periodic Nonlinear Part [J].
Abdallah, Ahmed Y. .
QUALITATIVE THEORY OF DYNAMICAL SYSTEMS, 2021, 20 (02)
[2]  
Ablowitz M. J., 1981, SOLITONS INVERSE SCA
[3]   Head-on Collision Between Two Hydroelastic Solitary Waves in Shallow Water [J].
Bhatti, M. M. ;
Lu, D. Q. .
QUALITATIVE THEORY OF DYNAMICAL SYSTEMS, 2018, 17 (01) :103-122
[4]   The Calogero-Bogoyavlenskii-Schiff equation in 2+1 dimensions [J].
Bruzón, MS ;
Gandarias, ML ;
Muriel, C ;
Ramírez, J ;
Saez, S ;
Romero, FR .
THEORETICAL AND MATHEMATICAL PHYSICS, 2003, 137 (01) :1367-1377
[5]   Alfven solitons and generalized Darboux transformation for a variable-coefficient derivative nonlinear Schrodinger equation in an inhomogeneous plasma [J].
Chen, Su -Su ;
Tian, Bo ;
Qu, Qi-Xing ;
Li, He ;
Sun, Yan ;
Du, Xia-Xia .
CHAOS SOLITONS & FRACTALS, 2021, 148
[6]   Bilinear form, soliton, breather, hybrid and periodic-wave solutions for a (3+1)-dimensional Korteweg-de Vries equation in a fluid [J].
Cheng, Chong-Dong ;
Tian, Bo ;
Zhang, Chen-Rong ;
Zhao, Xin .
NONLINEAR DYNAMICS, 2021, 105 (03) :2525-2538
[7]   NEW SIMILARITY REDUCTIONS OF THE BOUSSINESQ EQUATION [J].
CLARKSON, PA ;
KRUSKAL, MD .
JOURNAL OF MATHEMATICAL PHYSICS, 1989, 30 (10) :2201-2213
[8]   Multi-breather wave solutions for a generalized (3+1)-dimensional Yu-Toda-Sasa-Fukuyama equation in a two-layer liquid [J].
Deng, Gao-Fu ;
Gao, Yi-Tian ;
Su, Jing-Jing ;
Ding, Cui-Cui .
APPLIED MATHEMATICS LETTERS, 2019, 98 :177-183
[9]   Three-wave resonant interactions: dark-bright-bright mixed N- and high-order solitons, breathers, and their structures [J].
Ding, Cui-Cui ;
Gao, Yi-Tian ;
Yu, Xin ;
Liu, Fei-Yan ;
Wu, Xi-Hu .
WAVES IN RANDOM AND COMPLEX MEDIA, 2021, :3368-3380
[10]   Vector bright soliton interactions of the two-component AB system in a baroclinic fluid [J].
Ding, Cui-Cui ;
Gao, Yi-Tian ;
Hu, Lei ;
Deng, Gao-Fu ;
Zhang, Cai-Yin .
CHAOS SOLITONS & FRACTALS, 2021, 142
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