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

Abdulla – Al – Mamun; Samsun Nahar Ananna; Partha Protim Gharami; Tianqing An; Md. Asaduzzaman

Results in Physics (Oct 2022)

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

Abdulla – Al – Mamun,
Samsun Nahar Ananna,
Partha Protim Gharami,
Tianqing An,
Md. Asaduzzaman

Affiliations

Abdulla – Al – Mamun: Department of Mathematics, College of Science, Hohai University, Nanjing 210098, PR China; Department of Computer Science and Engineering, Northern University of Business and Technology Khulna, Khulna 9100, Bangladesh; Corresponding author at: Lecturer in Mathematics, Department of Computer Science and Engineering, Northern University of Business and Technology Khulna, Khulna 9100, Bangladesh; Mobile: +8801741183886.
Samsun Nahar Ananna: Department of Mathematics, College of Science, Hohai University, Nanjing 210098, PR China; Department of Mathematics, Islamic University, Kushtia 7003, Bangladesh
Partha Protim Gharami: Department of Computer Science and Engineering, Northern University of Business and Technology Khulna, Khulna 9100, Bangladesh
Tianqing An: Department of Mathematics, College of Science, Hohai University, Nanjing 210098, PR China
Md. Asaduzzaman: Department of Mathematics, Islamic University, Kushtia 7003, Bangladesh

Journal volume & issue: Vol. 41
p. 105969

Abstract

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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.

Published in Results in Physics

ISSN: 2211-3797 (Online)
Publisher: Elsevier
Country of publisher: Netherlands
LCC subjects: Science: Physics
Website: http://www.journals.elsevier.com/results-in-physics/

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