Abundant soliton wave solutions for the (3+1)-dimensional variable-coefficient nonlinear wave equation in liquid with gas bubbles by bilinear analysis

被引：10

作者：

Tao, Guanqi ^{[1
]}

Manafian, Jalil ^{[2
,3
]}

Ilhan, Onur Alp ^{[4
]}

Zia, Syed Maqsood ^{[5
]}

Agamalieva, Latifa ^{[6
]}

机构：

[1] Beijing Normal Univ, Expt & Practice Innovat Educ Ctr, Zhuhai 519087, Guangdong, Peoples R China

[2] Univ Tabriz, Fac Math Sci, Dept Appl Math, Tabriz, Iran

[3] Lankaran State Univ, Nat Sci Fac, 50 H Aslanov Str, Lankaran, Azerbaijan

[4] Erciyes Univ, Fac Educ, Dept Math, TR-38039 Kayseri, Turkey

[5] Shah Abdul Latif Univ Khairpour, Fac Phys Sci, Dept Stat, Sindh, Pakistan

[6] Azerbaijan Univ, T Hajibeyli 71, AZ-1007 Baku, Azerbaijan

来源：

MODERN PHYSICS LETTERS B | 2022年 / 36卷 / 03期

关键词：

Cross-kink; breather wave; interaction between stripe and periodic; and multi-waves solutions; Hirota bilinear method; variable-coefficient nonlinear wave equation; multi-dimensional binary Bell polynomials; PARTIAL-DIFFERENTIAL-EQUATIONS; LUMP SOLUTIONS; BREATHER SOLUTIONS; ROGUE WAVE; SYSTEM; MULTIWAVE;

D O I：

10.1142/S0217984921505655

中图分类号：

O59 [应用物理学];

学科分类号：

摘要：

In this paper, we check and scan the (3+1)-dimensional variable-coefficient nonlinear wave equation which is considered in soliton theory and generated by considering the Hirota bilinear operators. We retrieve some novel exact analytical solutions, including cross-kink soliton solutions, breather wave solutions, interaction between stripe and periodic, multi-wave solutions, periodic wave solutions and solitary wave solutions for the (3+1)-dimensional variable-coefficient nonlinear wave equation in liquid with gas bubbles by Maple symbolic computations. The required conditions of the analyticity and positivity of the solutions can be easily achieved by taking special choices of the involved parameters. The main ingredients for this scheme are to recover the Hirota bilinear forms and their generalized equivalences. Lastly, the graphical simulations of the exact solutions are depicted.

引用

页数：32

共 63 条

[21] Dynamical behaviors to the coupled Schrodinger-Boussinesq system with the beta derivative [J].