Using the improved exp(-Φ(ξ)) expansion method to find the soliton solutions of the nonlinear evolution equation

被引：0
作者：
Yang, Juan [1 ]
Feng, Qingjiang [1 ]
机构：
[1] Kaili Univ, Sch Sci, Kaili 556011, Peoples R China
来源：
EUROPEAN PHYSICAL JOURNAL PLUS | 2021年 / 136卷 / 03期
关键词：
TRAVELING-WAVE SOLUTIONS; (G'/G)-EXPANSION METHOD;
D O I：
10.1140/epjp/s13360-021-01321-2
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
With the help of the symbolic calculation software Mathematica, the nonlinear coupled Schrodinger system, (2 + 1)-dimensional dispersive long-wave system and (2 + 1)-dimensional Nizhnik-Novikov-Veselov system are solved by using the improved exp(- Phi(xi)) expansion method. Diverse new soliton solutions are obtained, and the structure and properties of soliton solutions are studied. We derive seven sets of exact solutions under different conditions for the nonlinear coupled Schrodinger system and the (2 + 1)-dimensional dispersive long wave equation, respectively, and for the (2 + 1)-dimensional Nizhnik-Novikov-Veselov system, we find the inelastic interaction solitary waves and fussion soliton.
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页数：13
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共 28 条
[1]   The investigation of exact solutions of nonlinear partial differential equations by using exp(-Φ(ξ)) method [J].
Akbulut, Arzu ;
Kaplan, Melike ;
Tascan, Filiz .
OPTIK, 2017, 132 :382-387
[2]   Exact traveling wave solutions to the (3+1)-dimensional mKdV-ZK and the (2+1)-dimensional Burgers equations via exp(-Phi(eta))-expansion method [J].
Alam, Md. Nur ;
Hafez, M. G. ;
Akbar, M. Ali ;
Harun-Or-Roshid .
ALEXANDRIA ENGINEERING JOURNAL, 2015, 54 (03) :635-644
[3]   Multiple solitoff solutions and the evolution of (2+1)-dimensional breaking soliton equation [J].
Cao Xiao-Xia ;
Ma Song-Hua ;
Ren Qing-Bao ;
Yang Zheng .
ACTA PHYSICA SINICA, 2012, 61 (14)
[4]   Novel evolutionary behaviors of the mixed solutions to a generalized Burgers equation with variable coefficients [J].
Chen, Si-Jia ;
Lu, Xing ;
Tang, Xian-Feng .
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2021, 95
[5]   Backlund transformation, exact solutions and interaction behaviour of the (3+1)-dimensional Hirota-Satsuma-Ito-like equation [J].
Chen, Si-Jia ;
Ma, Wen-Xiu ;
Lu, Xing .
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2020, 83
[6]   New exact solutions of a (3+1)-dimensional Jimbo-Miwa system [J].
Chen Yuan-Ming ;
Ma Song-Hua ;
Ma Zheng-Yi .
CHINESE PHYSICS B, 2013, 22 (05)
[7]   Exact solutions to the (3+1)-dimensional coupled Klein-Gordon-Zakharov equation using exp(-Φ(ξ))-expansion method [J].
Hafez, M. G. .
ALEXANDRIA ENGINEERING JOURNAL, 2016, 55 (02) :1635-1645
[8]   New exact traveling wave solutions to the (1+1)-dimensional Klein-Gordon-Zakharov equation for wave propagation in plasma using the exp(-Phi(xi))-expansion method [J].
Hafez, M. G. ;
Akbar, M. A. .
PROPULSION AND POWER RESEARCH, 2015, 4 (01) :31-39
[9]   The exp(-Φ(η))-expansion method with application in the (1+1)-dimensional classical Boussinesq equations [J].
Harun-Or-Roshid ;
Rahman, Md. Azizur .
RESULTS IN PHYSICS, 2014, 4 :150-155
[10]  
He XJ, 2021, ANAL MATH PHYS, V11, DOI 10.1007/s13324-020-00414-y
123