检索结果-南通市图书馆

Traveling Wave Solution of the modified benjamin-bona-mahony equation

维普期刊数据库

同方期刊数据库评论

在线全文

学校读者我要写书评

暂无评论

Journal of Applied Mathematics and Physics 2022年第10期10卷 3143-3155页

作者： Yin Zhu Xiaohua Liu Xue Huang Feiyun Ye College of Data Science and Information Engineering Guizhou Minzu University Guiyang China

In this paper, the ansatze method is implemented to study the exact solutions for the modified benjamin-bona-mahony equation (mBBM). The singular-shaped traveling wave solution, the Bell-shape is traveling wave solution, the kink-shaped traveling wave solution and the periodic traveling wave solution is obtained. With the assist of computational software MATLAB, the graphical exemplifications of solutions are illustrated of the two-dimension (2D) and three-dimension (3D) plots.

关键词： modified benjamin-bona-mahony equation Ansatze Method Traveling Wave Solution MATLAB

Semi-analytical and numerical simulations of the modified benjamin-bona-mahony model

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Journal of Ocean Engineering and Science 2022年第3期7卷 264-271页

作者： Mostafa M.A.Khater SamirA.Salama Department of Mathematics Faculty of ScienceJiangsu UniversityZhenjiang212013China Department of Mathematics Obour High Institute For Engineering and TechnologyCairo11828Egypt Division of Biochemistry Department of PharmacologyCollege of PharmacyTaif UniversityP.O.Box 11099Taif 21944Saudi Arabia

In this article,semi-analytical and numerical simulations of the well-known modified benjamin-bona-mahony(mBBM)equation are processed.This study targets to check the accuracy of the obtained analytical solutions of the mBBM model that have been obtained in[1]through three recent analytical schemes(extended simplest equation(ESE)method,modified kudryashov(mKud)method,and SechTanh(ST)expansion method).The considered model describes the propagation of long waves in the nonlinear dispersive media in a visual illusion.The Homotopy iteration(HI)method,exponential cubic-B-spline(ECBS)method,and trigonometric-quantic-B-spline(TQBS)method are employed to construct novel semi-analytical and accurate numerical solutions.The obtained solutions’accuracy has been checked through some different types of two-dimensional graphs.

关键词： modified benjamin-bona-mahony equation Approximate solutions

Dispersive soliton solutions for shallow water wave system and modified benjamin-bona-mahony equations via applications of mathematical methods

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Journal of Ocean Engineering and Science 2021年第1期6卷 85-98页

作者： Asghar Ali Aly R.Seadawy Mathematics Department University of EducationLahorePakistan Mathematics Department Faculty of ScienceTaibah UniversityAl-Madinah Al-MunawarahSaudi Arabia

We have utilized three novel methods,called generalized direct algebraic,modified F-expansion and improved simple equation methods to construct traveling wave solutions of the system of shallow water wave equations and modified benjamin-bona-mahony equation.After substituting particular values of the parameters,different solitary wave solutions are derived from the exact traveling wave solutions.It is shown that these employed methods are more powerful tools for nonlinear wave equations.

关键词： System of shallow water wave equations modified benjamin-bona-mahony equation Generalized direct algebraic method Improved simple equation method modified F-expansion method Traveling wave solutions Solitary wave solutions

（G＇/G2）-expansion Solutions to MBBM and OBBM equations

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Journal of Partial Differential equations 2015年第2期28卷 158-166页

作者： KANG Zhouzheng College of Mathematics Inner Mongolia University for NationalitiesTongliao 028043 China.

In this paper, with the aid of symbolic computation, the modified benjamin-bona-mahony and Ostrovsky-benjamin-bona-mahony equations are investigated by extended (G'/G~2)-expansion method. As a consequence, some trigonometric, hyperbolic and rational function solutions with multiple arbitrary parameters for the two equations are revealed, which helps to illustrate the effectiveness of this method.

关键词： modified benjamin-bona-mahony equation Ostrovsky-benjamin-bona-mahony equation exact solutions