An investigation to the nonlinear (2

被引：24

作者：

Chowdhury, M. Akher ^{[1
]}

Miah, M. Mamun ^{[2
]}

Ali, H. M. Shahadat ^{[3
]}

Chu, Yu-Ming ^{[4
,5
]}

Osman, M. S. ^{[6
,7
]}

机构：

[1] Bangladesh Army Univ Engn & Technol, Dept Math, Natore, Bangladesh

[2] Khulna Univ Engn & Technol, Dept Math, Khulna, Bangladesh

[3] Noakhali Sci & Technol Univ, Dept Appl Math, Noakhali, Bangladesh

[4] Huzhou Univ, Dept Math, Huzhou 313000, Peoples R China

[5] Changsha Univ Sci & Technol, Hunan Prov Key Lab Math Modeling & Anal Engn, Changsha 410114, Peoples R China

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

[7] Umm Alqura Univ, Fac Appl Sci, Dept Math, Mecca 21955, Saudi Arabia

来源：

RESULTS IN PHYSICS | 2021年 / 23卷

关键词：

The nonlinear (2+1)-dimensional soliton equation; The double (G '/G; 1/G)-expansion method; Exact travelling wave solutions; SOLITARY WAVE SOLUTIONS; EXP-FUNCTION METHOD; EXPLICIT SOLUTIONS; EQUATION; SOLITONS;

D O I：

10.1016/j.rinp.2021.104013

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In this paper, the double (G'/G, 1/G)-expansion method is employed to establish explicit general solutions of the nonlinear (2 + 1)-dimensional soliton equation. A variety of exact travelling wave solutions are attained involving three functions that are classified into rational, trigonometric and hyperbolic with especial parameters that originate the solitary explicit and new periodic solutions. The used method is the generalization of the (G'/G)-expansion method and it rediscovers all the acquainted solitary wave solutions that are obtained by means of the (G'/G)-expansion method.

引用

页数：7

共 36 条

[1] Explicit solutions to the Sharma-Tasso-Olver equation
Abdou, Mohammed Aly
Ouahid, Oubna
Owyed, Saud
Abdel-Baset, A. M.
Inc, Mustafa
Akinlar, Mehmet Ali
Chu, Yu-Ming
[J]. AIMS MATHEMATICS, 2020, 5 (06): : 7272 - 7284
[2] Study of abundant explicit wave solutions of the Drinfeld-Sokolov-Satsuma-Hirota (DSSH) equation and the shallow water wave equation
Ali, H. M. Shahadat
Miah, M. Mamun
Akbar, M. Ali
[J]. PROPULSION AND POWER RESEARCH, 2018, 7 (04) : 320 - 328
[3] Ali HMS, 2020, New Trends Math Sci, V8, P26
[4] New optical solitary wave solutions of Fokas-Lenells equation in optical fiber via Sine-Gordon expansion method
Ali, Khalid K.
Osman, M. S.
Abdel-Aty, Mahmoud
[J]. ALEXANDRIA ENGINEERING JOURNAL, 2020, 59 (03) : 1191 - 1196
[5] Arbabi S., 2012, J. Adv. Comput. Sci. Technol., P232
[6] The (G′/G)-expansion method for the nonlinear lattice equations
Ayhan, Burcu
Bekir, Ahmet
[J]. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2012, 17 (09) : 3490 - 3498
[7] Application of the Exp-function method for nonlinear differential-difference equations
Bekir, Ahmet
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2010, 215 (11) : 4049 - 4053
[8] Bibi S., 2019, PHYSICASCRIPTA, V94, P8
[9] Inverse scattering method applied to the synthesis of strongly scattering structures
Fiddy, MA
Testorf, M
[J]. OPTICS EXPRESS, 2006, 14 (05): : 2037 - 2046
[10] Optical solitons in birefringent fibers with quadratic-cubic nonlinearity using three integration architectures
Gomez-Aguilar, J. F.
Osman, M. S.
Raza, Nauman
Zubair, Asad
Arshed, Saima
Ghoneim, Mohamed E.
Mahmoud, Emad E.
Abdel-Aty, Abdel-Haleem
[J]. AIP ADVANCES, 2021, 11 (02)

← 1 2 3 4 →