The improved modified extended tanh-function method to develop the exact travelling wave solutions of a family of 3D fractional WBBM equations

被引：43
作者：
Abdulla-Al-Mamun [1 ,2 ,4 ]
Ananna, Samsun Nahar [1 ,3 ]
Gharami, Partha Protim [2 ]
An, Tianqing [1 ]
Asaduzzaman, Md. [3 ]
机构：
[1] Hohai Univ, Coll Sci, Dept Math, Nanjing 210098, Peoples R China
[2] Northern Univ Business & Technol Khulna, Dept Comp Sci & Engn, Khulna 9100, Bangladesh
[3] Islamic Univ, Dept Math, Kushtia 7003, Bangladesh
[4] Northern Univ Business & Technol, Dept Comp Sci & Engn, Khulna 9100, Bangladesh
来源：
RESULTS IN PHYSICS | 2022年 / 41卷
关键词：
method; Wazwaz-Benjamin-Bona-Mahony equation; Solitary wave; Exact solution; Soliton shape; OPTICAL SOLITONS; EXPANSION METHOD; BOUSSINESQ; EXPLICIT;
D O I：
10.1016/j.rinp.2022.105969
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
The improved modified extended tanh-function (imETF) method is used to develop exact traveling wave solutions of a family of 3D fractional Wazwaz-Benjamin-Bona-Mahony (WBBM) equations. Bright solitons, dark solitons, bright-dark solitons, single solitons, and multiple solitons are obtained by using the imETF method. Also, periodic solutions, singular periodic solutions, hyperbolic function solutions, rational function solutions, trigonometric function solutions, and exponential function solutions are reported. Through companionable wave transformation, the governing equations are simplified to conventional ordinary differential equations. The alternative solution relates to the earlier phase. The anticipated solution's power coefficients are compared to create a system of algebraic equations (SAE). The links between parameters and coefficients that are required to create solutions are provided by a resilient coefficients scheme. For various parameter combinations, certain solutions are modeled.
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页数：12
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