New solitary wave solutions for the conformable Klein-Gordon equation with quantic nonlinearity

被引：62

作者：

Inc, Mustafa ^{[1
,2
]}

Rezazadeh, Hadi ^{[3
]}

Vahidi, Javad ^{[4
]}

Eslami, Mostafa ^{[5
]}

Akinlar, Mehmet Ali ^{[6
]}

Ali, Muhammad Nasir ^{[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] Amol Univ Special Modern Technol, Fac Engn Technol, Amol, Iran

[4] Iran Univ Sci & Technol, Dept Appl Math, Tehran, Iran

[5] Univ Mazandaran, Dept Math, Babolsar, Iran

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

[7] Natl Univ Comp & Emerging Sci, Lahore, Pakistan

[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：

functional variable technique; conformable derivative; conformable Klein-Gordon with quantic nonlinearity; exact wave solutions; FUNCTIONAL VARIABLE METHOD; EVOLUTION; DYNAMICS; SOLITONS;

D O I：

10.3934/math.2020447

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present new exact solutions in the form of solitary waves for the conformable Klein-Gordon equation with quintic nonlinearity. We use functional variable method which converts a conformable PDE to a second-order ordinary differential equation through a traveling wave transformation. We obtain periodic wave and solitary wave solutions including particularly kinkprofile and bell-profile type solutions. The present method is a direct and concise technique which has the potential to be applicable to many other conformable PDEs arising in physics and engineering.

引用

页码：6972 / 6984

页数：13

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