检索结果-南通市图书馆

Analysis of travelling wave solutions of double dispersive sharma-Tasso-Olver equation

Journal of Ocean Engineering and Science 2024年第5期9卷 461-474页

作者： Kamruzzaman Khan Henk Koppelaar m.ali akbar Syed Tauseef mohyud-Din Department of mathematics Pabna University of Science and TechnologyPabna 6600Bangladesh Fac.of Electrical Eng. Mathematics and Comp.ScienceUniversity of DelftNetherlands Department of Applied mathematics University of RajshahiRajshahi 6205Bangladesh Department of mathematics HITEC University Taxila CanttPakistan School of Science and Technology University of New EnglandArmidaleNSW 2351Australia

Travelling wave solutions have been played a vital role in demonstrating the wave character of nonlinear problems arising in the field of ocean engineering and *** describe the propagation of the nonlinear wave phenomenon in the ocean(for example,wind waves,tsunami waves),a variety of evolution equations have been suggested and investigated in the existing *** paper studies the dynamic of travelling periodic and solitary wave behavior of a double-dispersive non-linear evolution equation,named the Sharma-Tasso-Olver(STO)*** evolution equations with double dispersion enable us to describe nonlinear wave propagation in the ocean,hyperplastic rods and other mediums in the field of science and *** analyze the wave solutions of this model using a combination of numerical simulations and Ansatz *** analysis shows that the travelling wave solutions involve a range of parameters that displays important and very interesting properties of the wave *** relevance of the parameters in the travelling wave solutions is also *** simulating numerically,we demonstrate how parameters in the solutions influence the phase speed as well as the travelling and solitary ***,we discuss instantaneous streamline patterns among the obtained solutions to explore the local direction of the components of the obtained solitary wave solutions at each point in the coordinate(x,t).

关键词： Travelling wave Solitary wave Streamline Enhanced(G'/G)-expansion method STO equation

来源：

维普期刊数据库评论

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Generalized and Improved(G′/G)-Expansion method Combined with Jacobi Elliptic Equation

引用

Communications in Theoretical Physics 2014年第6期61卷 669-676页

作者： m.ali akbar Norhashidah Hj.mohd.ali E.m.E.Zayed School of mathematical Sciences Universiti Sains Malaysia Department of Applied mathematics University of Rajshahi mathematics Department Faculty of Science Zagazig University

In this article, we propose an alternative approach of the generalized and improved （G＇/G）-expansion method and build some new exact traveling wave solutions of three nonlinear evolution equations, namely the Boiti- Leon-Pempinelle equation, the Pochhammer-Chree equations and the Painleve integrable Burgers equation with free parameters. When the free parameters receive particular values, solitary wave solutions are constructed from the traveling waves. We use the Jacob/elliptic equation as an auxiliary equation in place of the second order linear equation. It is established that the proposed algorithm offers a further influential mathematical tool for constructing exact solutions of nonlinear evolution equations.

关键词： Boiti-Leon-Pempinelle equation Painleve integrable burgers equation Pochhammer-Chree equa-tion (GI/G)-expansion method traveling wave solutions

来源：

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

Abundant Exact Traveling Wave Solutions of Generalized Bretherton Equation via Improved (G′/G)-Expansion method

引用

Communications in Theoretical Physics 2012年第2期57卷 173-178页

作者： m.ali akbar Norhashidah Hj.mohd.ali E.m.E.Zayed School of mathematical Sciences Universiti Sains MalaysiaMalaysia mathematics Department Faculty of ScienceZagazig UniversityZagazigEgypt

In this article, we construct abundant exact traveling wave solutions involving free parameters to the generalized Bretherton equation via the improved (G′/G)-expansion method. The traveling wave solutions are presented in terms of the trigonometric, the hyperbolic, and rational functions. When the parameters take special values, the solitary waves are derived from the traveling waves.

关键词： improved (G'/G)-expansion method travelling wave solutions the Bretherton equation nonlinearevolution equations

来源：

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

Traveling wave solutions to some nonlinear fractional partial differential equations through the rational(G'/G)-expansion method

引用

Journal of Ocean Engineering and Science 2018年第1期3卷 76-81页

作者： Tarikul Islam m.ali akbar Abul Kalam Azad Department of mathematics Hajee Mohammad Danesh Science and Technology UniversityDinajpurBangladesh Department of Applied mathematics Rajshahi UniversityRajshahiBangladesh

In this article,the analytical solutions to the space-time fractional foam drainage equation and the space-time fractional symmetric regu-larized long wave(SRLW)equation are successfully examined by the recently established rational(G/G)-expansion *** suggested equations are reduced into the nonlinear ordinary differential equations with the aid of the fractional complex ***,the theories of the ordinary differential equations are implemented *** types closed form traveling wave solutions,such as hyper-bolic function,trigonometric function and rational,are constructed by using the suggested method in the sense of conformable fractional *** obtained solutions might be significant to analyze the depth and spacing of parallel subsurface drain and small-amplitude long wave on the surface of the water in a *** is observed that the performance of the rational(G/G)-expansion method is reliable and will be used to establish new general closed form solutions for any other NPDEs of fractional order.

关键词： Nonlinear space-time fractional equations Nonlinear fractional complex transformation Conformable fractional derivative Exact solutions

来源：

维普期刊数据库评论

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Study of abundant explicit wave solutions of the Drinfeld-Sokolov-Satsuma-Hirota(DSSH)equation and the shallow water wave equation

引用

Propulsion and Power Research 2018年第4期7卷 320-328页

作者： H.m.Shahadat ali m.mamun miah m.ali akbar Department of Applied mathematics Noakhali Science and Technology UniversityNoakhali 3814Bangladesh Department of mathematics Khulna University of Engineering&Technology.Khulna 9203Bangladesh Department of Applied mathematics University of Rajshahi.Rajshahi 6205Bangladesh

In this article,the two variable(G'G,1/G)-expansion method is suggested to investigate new and further general multiple exact wave solutions to the Drinfeld-Sokolov-Satsuma-Hirota(DSSH)equation and the shallow water wave equation which arise in mathematical physics with the aid of computer algebra software,like *** functions and the rational functions solution are *** method demonstrates power,reliability and ***,the method is the generalization of the well-known(G/G)-expansion method established by Wang et *** the method also presents a wider applicability for conducting nonlinear wave equations.

关键词： Explicit wave solutions Computer algebra software Drinfeld-Sokolov-Satsuma-Hirota(DSSH)equation Shallow water wave equation Soliton

来源：

维普期刊数据库评论

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Abundant general solitary wave solutions to the family of KdV type equations

引用

Journal of Ocean Engineering and Science 2017年第1期2卷 47-54页

作者： md.Azmol Huda m.ali akbar Shewli Shamim Shanta mathematics Discipline Khulna UniversityKhulnaBangladesh Department of Applied mathematics University of RajshahiRajshahiBangladesh Department of mathematics University of RajshahiRajshahiBangladesh

This work explores the construction of more general exact traveling wave solutions of some nonlinear evolution equations(NLEEs)through the application of the(G/G,1/G)-expansion *** method is allied to the widely used(G/G)-method initiated by Wang et *** can be considered as an extension of the(G/G)-expansion *** effectiveness,the method is applied to the family of KdV type *** general form solitary wave solutions as well as periodic solutions are successfully obtained through this ***,in the obtained wider set of solutions,if we set special values of the parameters,some previously known solutions are *** approach of this method is simple and elegantly *** been computerized it is also powerful,reliable and effective.

关键词： Nonlinear evolution equation Solitary wave solution Potential KdV equation Complex modified KdV equation

来源：

维普期刊数据库评论

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

The new types of wave solutions of the Burger’s equation and the Benjamin-Bona-mahony equation

引用

Journal of Ocean Engineering and Science 2018年第1期3卷 1-10页

作者： md.Azmol Huda m.ali akbar Shewli Shamim Shanta mathematics Discipline Khulna UniversityBangladesh Department of Applied mathematics University of RajshahiBangladesh Department of mathematics University of RajshahiBangladesh

In this article,we suggest the two variable(G/G,1/G)-expansion method for extracting further general closed form wave solutions of two important nonlinear evolution equations(NLEEs)that model one-dimensional internal waves in deep water and the long surface gravity waves of small amplitude propagating *** method can be regarded as an extension of the(G/G)-expansion *** ansatz of this extension method to obtain the solution is based on homogeneous balance between the highest order dispersion terms and nonlinearity which is similar to the(G/G)method whereas the auxiliary linear ordinary differential equation(LODE)and polynomial solution *** applied this method to find explicit form solutions to the Burger’s and Benjamin-Bona-mahony(BBm)equations to examine the effectiveness of the method and tested through mathematical computational software *** new exact travelling wave solutions in more general form of these two nonlinear equations are derived by this extended *** method introduced here appears to be easier and faster comparatively by means of symbolic computation system.

关键词： Travelling wave solution Soliton Burger’s equation Benjamin-Bona-mahony equation.

来源：

维普期刊数据库评论

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

A study on the compatibility of the generalized Kudryashov method to determine wave solutions

引用

Propulsion and Power Research 2021年第1期10卷 95-105页

作者： Hemonta Kumar Barman md.Ekramul Islam m.ali akbar Department of Applied mathematics University of RajshahiRajshahi6205Bangladesh Department of mathematics Pabna University of Science and TechnologyPabna6600Bangladesh

In this article,we establish solitary wave solutions to the Estevez-mansfieldClarkson(EmC)equation and the coupled sine-Gordon equations which are model equations to analyze the formation of shapes in liquid drops,surfaces of negative constant curvature,*** contriving the generalized Kudryashov *** extracted results introduce several types’solitary waves,such as the kink soliton,bell-shape soliton,compacton,singular soliton,peakon and other sort of soliton for distinct valuation of the unknown *** achieved analytic solutions are interpreted in details and their 2D and 3D graphs are *** obtained solutions and the physical structures explain the soliton phenomenon and reproduce the dynamic properties of the front of the travelling wave deformation generated in the dispersive *** shows that the generalized Kudryashov method is powerful,compatible and might be used in further works to found novel solutions for other types of nonlinear evolution equations ascending in physical science and engineering.

关键词： The nonlinear evolution equations(NLEEs) The Estevez-mansfieldClarkson(EmC)equation The coupled sineGordon equations The generalized Kudryashov method Solitons Analytic solutions

来源：

维普期刊数据库评论

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Abundant closed form wave solutions to some nonlinear evolution equations in mathematical physics

引用

Journal of Ocean Engineering and Science 2020年第3期5卷 269-278页

作者： m.mamun miah Aly R.Seadawy H.m.Shahadat ali m.ali akbar Department of mathematics Khulna University of Engineering&TechnologyBangladesh mathematics Department Taibah UniversityAl-Madinah Al-MunawarahSaudi Arabia Department of mathematics Beni-Suef UniversityEgypt Department of Applied mathematics Noakhali Science and Technology UniversityBangladesh Department of Applied mathematics University of RajshahiRajshahi 6205Bangladesh

The propagation of waves in dispersive media,liquid flow containing gas bubbles,fluid flow in elastic tubes,oceans and gravity waves in a smaller domain,spatio-temporal rescaling of the nonlinear wave motion are delineated by the compound Korteweg-de Vries(KdV)-Burgers equation,the(2+1)-dimensional maccari system and the generalized shallow water wave *** this work,we effectively derive abundant closed form wave solutions of these equations by using the double(G′/G,1/G)-expansion *** obtained solutions include singular kink shaped soliton solutions,periodic solution,singular periodic solution,single soliton and other solutions as *** show that the double(G′/G,1/G)-expansion method is an efficient and powerful method to examine nonlinear evolution equations(NLEEs)in mathematical physics and scientific application.

关键词： Close form solutions KdV-Burgers equation The(2+1)-dimensional maccari system The generalized shallow water wave equation

来源：

维普期刊数据库评论

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Further investigations to extract abundant new exact traveling wave solutions of some NLEEs

引用

Journal of Ocean Engineering and Science 2019年第4期4卷 387-394页

作者： m.mamun miah Aly R.Seadawy H.m.Shahadat ali m.ali akbar Department of mathematics Khulna University of Engineering and TechnologyBangladesh mathematics Department Taibah UniversityAl-Madinah Al-MunawarahSaudi Arabia Department of mathematics Beni-Suef UniversityEgypt Department of Applied mathematics Noakhali Science and Technology UniversityBangladesh Department of Applied mathematics University of RajshahiRajshahi-6205Bangladesh

In this study,we implement the generalized(G/G)-expansion method established by Wang et *** examine wave solutions to some nonlinear evolution *** method,known as the double(G/G,1/G)-expansion method is used to establish abundant new and further general exact wave solutions to the(3+1)-dimensional Jimbo-miwa equation,the(3+1)-dimensional Kadomtsev-Petviashvili equation and symmetric regularized long wave *** solutions are extracted in terms of hyperbolic function,trigonometric function and rational *** solitary wave solutions are constructed from the obtained traveling wave solutions if the parameters received some definite *** of the solutions are also depicted to describe the phenomena apparently and the shapes of the obtained solutions are singular periodic,anti-kink,singular soliton,singular anti-bell shape,compaction *** method is straightforward,compact and reliable and gives huge new closed form traveling wave solutions of nonlinear evolution equations in ocean engineering.

关键词： Exact traveling wave solutions (G/G,1/G)-expansion method (3+1)-dimensional Jimbo-miwa equation (3+1)-dimensional Kadomtsev-Petviashvili equation Symmetric regularized long wave equation

来源：

维普期刊数据库评论

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

欢迎您,

建议与咨询留下您的常用邮箱和电话号码，以便我们向您反馈解决方案和替代方法

时间限定

文献类型

馆藏选择

核心期刊

语言

文献类型

帮助

文字说明：

检索规则说明：

检索范例：

分类表

所选分类

限定检索结果

文献类型

馆藏范围

日期分布

学科分类号

主题

机构

作者

语言

在线全文

在线全文

在线全文

在线全文

在线全文

在线全文

在线全文

在线全文

在线全文

在线全文

请选择保存的检索档案：

请选择收藏分类：

通借通还

欢迎您,

建议与咨询 留下您的常用邮箱和电话号码，以便我们向您反馈解决方案和替代方法

时间限定

文献类型

馆藏选择

核心期刊

语言

文献类型

帮助

文字说明：

检索规则说明：

检索范例：

分类表

所选分类

限定检索结果

文献类型

馆藏范围

日期分布

学科分类号

主题

机构

作者

语言

在线全文

在线全文

在线全文

在线全文

在线全文

在线全文

在线全文

在线全文

在线全文

在线全文

请选择保存的检索档案： 新增检索档案 确定 取消

请选择收藏分类： 新增自定义分类 确定 取消

通借通还

建议与咨询留下您的常用邮箱和电话号码，以便我们向您反馈解决方案和替代方法

请选择保存的检索档案：

请选择收藏分类：