High-order rational-type solutions of the analogous (3+1)-dimensional Hirota-bilinear-like equation

被引：0

作者：

Li, Wenting ^{[1
]}

Jiao, Ailing ^{[2
]}

Liu, Wei ^{[1
]}

Guo, Zhaoying ^{[1
]}

机构：

[1] Qiongtai Normal Univ, Haikou 571127, Peoples R China

[2] Heilongjiang Univ, Sch Math, Harbin 150080, Peoples R China

来源：

MATHEMATICAL BIOSCIENCES AND ENGINEERING | 2023年 / 20卷 / 11期

基金：

海南省自然科学基金;

关键词：

Hirota bilinear equation; rational solution; generalized Hirota bilinear method; Hirota bilinear operator; dynamic behavior;

D O I：

10.3934/mbe.2023856

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

In this article, a new dynamical system equation named the (3+1)-dimensional Hirotabilinear-like equation (HBLE) was constructed. The generalized Hirota bilinear method was applied to obtain this new HBLE in (3+1) dimensions. This new HBLE possesses a similar bilinear form to the original (3+1)-dimensional Hirota bilinear equation, but with additional nonlinear terms. A set of highorder rational solutions is constructed for the given equation, generated from polynomial solutions to the associated generalized bilinear equation. The analyticity conditions of the resulting solutions were investigated and six groups of general solutions were derived. In addition, the shape and surface of the high-order rational function solutions and their dynamic behaviors were studied by utilizing Maple.

引用

页码：19360 / 19371

页数：12

共 31 条

[1]

Ablowitz M., 1991, SOLITONS NONLINEAR E, DOI [10.1017/CBO9780511623998, DOI 10.1017/CBO9780511623998]

[2] Effects of the higher-order dispersion on solitary waves and modulation instability in a monomode fiber [J].

Akinyemi L. ;

Houwe A. ;

Abbagari S. ;

Wazwaz A.-M. ;

Alshehri H.M. ;

Osman M.S. .

Optik, 2023, 288

[3] Integrability, multi-solitons, breathers, lumps and wave interactions for generalized extended Kadomtsev-Petviashvili equation [J].

Akinyemi, Lanre ;

Morazara, Eliso .

NONLINEAR DYNAMICS, 2023, 111 (05) :4683-4707

[4] Numerical solution for generalized nonlinear fractional integro-differential equations with linear functional arguments using Chebyshev series [J].

Ali, Khalid K. ;

Abd El Salam, Mohamed A. ;

Mohamed, Emad M. H. ;

Samet, Bessem ;

Kumar, Sunil ;

Osman, M. S. .

ADVANCES IN DIFFERENCE EQUATIONS, 2020, 2020 (01)

[5] A study of lump-type and interaction solutions to a (3+1)-dimensional Jimbo-Miwa-like equation [J].

Batwa, Sumayah ;

Ma, Wen-Xiu .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2018, 76 (07) :1576-1582

[6] The Hirota equation: Darboux transform of the Riemann-Hilbert problem and higher-order rogue waves [J].

Chen, Shuyan ;

Yan, Zhenya .

APPLIED MATHEMATICS LETTERS, 2019, 95 :65-71

[7] Advanced exact solutions to the nano-ionic currents equation through MTs and the soliton equation containing the RLC transmission line [J].

Chowdhury, M. Akher ;

Miah, M. Mamun ;

Iqbal, M. Ashik ;

Alshehri, Hashim M. ;

Baleanu, Dumitru ;

Osman, M. S. .

EUROPEAN PHYSICAL JOURNAL PLUS, 2023, 138 (06)

[8] The Tikhonov regularization method for the inverse source problem of time fractional heat equation in the view of ABC-fractional technique [J].

Djennadi, Smina ;

Shawagfeh, Nabil ;

Inc, Mustafa ;

Osman, M. S. ;

Gomez-Aguilar, J. F. ;

Abu Arqub, Omar .

PHYSICA SCRIPTA, 2021, 96 (09)

[9] Solitary waves, homoclinic breather waves and rogue waves of the (3+1)-dimensional Hirota bilinear equation [J].

Dong, Min-Jie ;

Tian, Shou-Fu ;

Yan, Xue-Wei ;

Zou, Li .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2018, 75 (03) :957-964

[10]

Gu CH, 2005, Darboux transformations in integrable systems: theory and their applications to geometry, DOI [DOI 10.1007/1-4020-3088-6, 10.1007/1-4020-3088-6]

← 1 2 3 4 →