Abundant Solitary Wave Solutions for the Boiti-Leon-Manna-Pempinelli Equation with M-Truncated Derivative

被引：17
|
作者：
Al-Askar, Farah M. [1 ]
Cesarano, Clemente [2 ]
Mohammed, Wael W. [3 ,4 ]
机构：
[1] Princess Nourah Bint Abdulrahman Univ, Dept Math Sci, Coll Sci, POB 84428, Riyadh 11671, Saudi Arabia
[2] Int Telemat Univ Uninettuno, Sect Math, Corso Vittorio Emanuele 239, I-00186 Rome, Italy
[3] Univ Hail, Fac Sci, Dept Math, Hail, Saudi Arabia
[4] Mansoura Univ, Fac Sci, Dept Math, Mansoura 35516, Egypt
来源：
AXIOMS | 2023年 / 12卷 / 05期
关键词：
Boiti-Leon-Manna-Pempinelli; M-truncated derivative; He's semi-inverse approach; exact solution; VARIATIONAL-PRINCIPLES; NONLINEAR EVOLUTION;
D O I：
10.3390/axioms12050466
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this work, we consider the Boiti-Leon-Manna-Pempinelli equation with the M-truncated derivative (BLMPE-MTD). Our aim here is to obtain trigonometric, rational and hyperbolic solutions of BLMPE-MTD by employing two diverse methods, namely, He's semi-inverse method and the extended tanh function method. In addition, we generalize some previous results. As the Boiti-Leon-Manna-Pempinelli equation is a model for an incompressible fluid, the solutions obtained may be utilized to represent a wide variety of fascinating physical phenomena. We construct a large number of 2D and 3D figures to demonstrate the impact of the M-truncated derivative on the exact solution of the BLMPE-MTD.
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页数：10
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