Boiti-Leon-Manna-Pempinelli equation including time-dependent coefficient (vcBLMPE): a variety of nonautonomous geometrical structures of wave solutions

被引：27

作者：

Ismael, H. F. ^{[1
]}

Akkilic, A. N. ^{[2
]}

Murad, M. A. S. ^{[3
]}

Bulut, H. ^{[2
]}

Mahmoud, W. ^{[4
]}

Osman, M. S. ^{[5
]}

机构：

[1] Univ Zakho, Fac Sci, Dept Math, Zakho, Iraq

[2] Firat Univ, Dept Math, Fac Sci, Elazig, Turkey

[3] Univ Duhok, Coll Sci, Dept Math, Duhok, Iraq

[4] Cairo Univ, Fac Sci, Dept Math, Giza 12613, Egypt

[5] Umm Al Qura Univ, Fac Appl Sci, Dept Math, Mecca 21955, Saudi Arabia

来源：

NONLINEAR DYNAMICS | 2022年 / 110卷 / 04期

关键词：

Lump waves; Physical interaction phenomena; Hirota bilinear form; Periodic wave solutions; Breather solutions; SOLITON-SOLUTIONS; EVOLUTION;

D O I：

10.1007/s11071-022-07817-5

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

Our work aims to investigate the vcBLMPE in (3+1) -dimensions (3D-vcBLMPE) that characterizes wave propagation in incompressible fluids. In real-world issues, nonlinear partial differential equations containing time-dependent coefficients are more relevant than those with constant coefficients owing to inhomogeneities of media and nonuniformities of boundaries. In shallow water, linearization of the wave formation needs more critical wave capacity criteria than in water depths, and the strongly nonlinear aspects are readily visible. By using symbolic computation, several nonautonomous wave solutions with different geometric structures are obtained. Each of the gained solutions is presented graphically based on various arbitrary coefficients to demonstrate and better comprehend their dynamical properties. As a comparison between the new results and the results previously reported, we have presented several completely new findings in this study.

引用

页码：3699 / 3712

页数：14

共 43 条

[1] Some Novel Solutions of the Coupled Whitham-Broer-Kaup Equations [J].