Evolutionary behavior of rational wave solutions to the (4+1)-dimensional Boiti-Leon-Manna-Pempinelli equation

被引：32
作者：
Hosseini, K. [1 ]
Ma, W. X. [2 ,3 ,4 ,5 ,6 ,7 ]
Ansari, R. [8 ]
Mirzazadeh, M. [9 ]
Pouyanmehr, R. [8 ]
Samadani, F. [8 ]
机构：
[1] Islamic Azad Univ, Dept Math, Rasht Branch, Rasht, Iran
[2] Zhejiang Normal Univ, Dept Math, Jinhua 321004, Zhejiang, Peoples R China
[3] King Abdulaziz Univ, Dept Math, Jeddah, Saudi Arabia
[4] Univ S Florida, Dept Math & Stat, Tampa, FL 33620 USA
[5] South China Univ Technol, Sch Math, Guangzhou 510640, Peoples R China
[6] Shandong Univ Sci & Technol, Coll Math & Syst Sci, Qingdao 266590, Shandong, Peoples R China
[7] North West Univ, Dept Math Sci, Int Inst Symmetry Anal & Math Modelling, Mafikeng Campus, ZA-2735 Mmabatho, South Africa
[8] Univ Guilan, Fac Mech Engn, POB 3756, Rasht, Iran
[9] Univ Guilan, Fac Technol & Engn, Dept Engn Sci, Rudsar Vajargah 4489163157, Iran
来源：
PHYSICA SCRIPTA | 2020年 / 95卷 / 06期
关键词：
(4+1)-dimensional boiti-leon-manna-pempinelli equation; hirota bilinear form; linear superposition method; symbolic computations; multiple wave and positive compelexiton solutions; COMPLEXITON SOLUTIONS; SOLITON-SOLUTIONS; LUMP;
D O I：
10.1088/1402-4896/ab7fee
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
A nonlinear integrable model known as the (4 + 1)-dimensional Boiti-Leon-Manna-Pempinelli (4D-BLMP) equation is studied in the present paper. To this end, by considering the Hirota bilinear form of the model and utilizing the linear superposition method (LSM) along with symbolic computations, a group of rational wave solutions including multiple wave and positive (non-singular) compelexiton solutions is formally derived. The dynamical behavior of the solutions is also analyzed graphically by considering the special values of the involved parameters. The results of the current work reveal the existence of different wave structures to the 4D-BLMP equation and distinguish it from other models that do not possess non-singular compelexiton solutions.
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页数：7
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