New exact solutions for the Kaup-Kupershmidt equation

被引：37

作者：

Inc, Mustafa ^{[1
,2
]}

Miah, Mamun ^{[3
]}

Chowdhury, Akher ^{[4
]}

Ali, Shahadat ^{[5
]}

Rezazadeh, Hadi ^{[6
]}

Akinlar, Mehmet Ali ^{[7
]}

Chu, Yu-Ming ^{[8
,9
]}

机构：

[1] Firat Univ, Dept Math, Elazig, Turkey

[2] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung, Taiwan

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

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

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

[6] Amol Univ Special Modern Technol, Fac Engn Technol, Amol, Iran

[7] Yildiz Tech Univ, Dept Math Engn, Istanbul, Turkey

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

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

来源：

AIMS MATHEMATICS | 2020年 / 5卷 / 06期

关键词：

Kaup-Kupershmidt equation; the method of double (G '/G; 1/G)-expansion; exact solutions; TRAVELING-WAVE SOLUTIONS; ELLIPTIC FUNCTION SOLUTIONS; EXP-FUNCTION METHOD; 1/G)-EXPANSION METHOD; (G'/G;

D O I：

10.3934/math.2020432

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present new exact solutions for the (1+1)-dimensional Kaup-Kupershmidt (KK) equation by employing method of double (G'/G, 1/G)-expansion. We express solutions by hyperbolic, trigonometric and rational functions explicitly. Computational results indicate the efficiency and applicability potential of the method.

引用

页码：6726 / 6738

页数：13

共 50 条

[1] Exact Solutions to (2+1)-Dimensional Kaup-Kupershmidt Equation
LU Hai-Ling~+ and LIU Xi-QiangSchool of Mathematical Sciences
CommunicationsinTheoreticalPhysics, 2009, 52 (11) : 795 - 800
[2] New exact solutions of the kaup-kupershmidt equation related to A non-local symmetry
Department of Physics, Zhoushan Normal College, Zhoushan 316004, China
不详
不详
Wuli Xuebao, 7 (1252-1253):
[3] Extended soliton solutions for the Kaup-Kupershmidt equation
Verhoeven, C
Musette, M
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2001, 34 (11): : 2515 - 2523
[4] Nonlocal symmetry and explicit solutions of the Kaup-Kupershmidt equation
Wang Zhen-Li
Liu Xi-Qiang
ACTA PHYSICA SINICA, 2014, 63 (18)
[5] Darboux transformation and explicit solutions for the Kaup-Kupershmidt equation
Liu, Tongshuai
Xia, Tiecheng
PHYSICA SCRIPTA, 2023, 98 (10)
[6] Nonlocal symmetries and the Kaup-Kupershmidt equation
Reyes, EG
JOURNAL OF MATHEMATICAL PHYSICS, 2005, 46 (07)
[7] A Note on Analysis of the Kaup-Kupershmidt Equation
Charalambous, Kyriakos
Halder, Amlan K.
Leach, Peter G. L.
MODERN TREATMENT OF SYMMETRIES, DIFFERENTIAL EQUATIONS AND APPLICATIONS (SYMMETRY 2019), 2019, 2153
[8] Explicit solutions to the Kaup-Kupershmidt equation via nonlocal symmetries
Reyes, Enrique G.
Sanchez, Guillermo
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2007, 17 (08): : 2749 - 2763
[9] Soliton solutions for the fifth-order Kaup-Kupershmidt equation
Wang, Pan
Xiao, Shu-Hong
PHYSICA SCRIPTA, 2018, 93 (10)
[10] Exact Solutions and Conservation Laws of a Two-Dimensional Integrable Generalization of the Kaup-Kupershmidt Equation
Adem, Abdullahi Rashid
Khalique, Chaudry Masood
JOURNAL OF APPLIED MATHEMATICS, 2013,

← 1 2 3 4 5 →