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.

引用

页数：10

共 45 条

[1] The Influence of White Noise and the Beta Derivative on the Solutions of the BBM Equation [J].