检索结果-南通市图书馆

A novel approach to study generalized coupled cubic Schrödinger-Korteweg-de Vries 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 Ocean Engineering and Science 2024年第1期9卷 13-24页

作者： lanre akinyemi P.Veeresha M.T.Darvishi Hadi Rezazadeh Mehmet Senol Udoh Akpan Department of Mathematics Lafayette CollegeEastonPAUSA Department of Mathematics Christ Deemed to be UniversityBengaluru 560029India Department of Mathematics Razi UniversityKermanshah 67149Iran Faculty of Engineering Technology Amol University of Special Modern TechnologiesAmolIran Department of Mathematics Nev¸s ehir HacıBekta¸s Veli UniversityNev¸s ehirTurkey Drexel University Department of MathematicsPhiladelphiaPAUSA

The Kortewegde Vries(KdV)equation represents the propagation of long waves in dispersive media,whereas the cubic nonlinear Schrödinger(CNLS)equation depicts the dynamics of narrow-bandwidth wave packets consisting of short dispersive waves.A model that couples these two equations seems in-triguing for simulating the interaction of long and short waves,which is important in many domains of applied sciences and engineering,and such a system has been investigated in recent *** work uses a modified Sardar sub-equation procedure to secure the soliton-type solutions of the generalized cubic nonlinear Schrödinger-Korteweg-de Vries system of *** various selections of arbitrary parameters in these solutions,the dynamic properties of some acquired solutions are represented graph-ically and *** particular,the dynamics of the bright solitons,dark solitons,mixed bright-dark solitons,W-shaped solitons,M-shaped solitons,periodic waves,and other soliton-type *** re-sults demonstrated that the proposed technique is highly efficient and effective for the aforementioned problems,as well as other nonlinear problems that may arise in the fields of mathematical physics and engineering.

关键词： CNLS equation Modiﬁed Sardar sub-equation method KdV equation Solitons Long and short waves

Fractional approach for mathematical model of phytoplankton-toxic phytoplankton-zooplankton system with Mittag-Leffler kernel

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

International Journal of Biomathematics 2023年第3期16卷 195-218页

作者： P.Veeresha lanre akinyemi Department of Mathematics Centre for Mathematical Needs CHRIST(Deemed to be University)Bengaluru 560029India Department of Mathematics Lafayette College EastonPennsylvaniaUSA

The solution for phytoplankton-toxic phytoplankton-zooplankton system with qhomotopy analysis transform method(q-HATM)is *** projected system exemplifies three components(namely,zooplankton,toxic-phytoplankton as well as phytoplankton)and the corresponding nonlinear ordinary differential equations exemplify the zooplankton feeds on *** projected method is an amalgamation of q-homotopy analysis algorithm and Laplace transform and the derivative associated with the Atangana-Baleanu(AB)*** equilibrium points and stability have been discussed with the assistance of the Routh-Hurwitz rule in this work within the frame of generalized *** fixed-point theorem is employed to present the existence and uniqueness of the attained result for the considered model,and we consider five different initial conditions for the projected ***,the physical nature of the achieved solution has been captured for fractional order,external force and diverse *** achieved consequences explicate that the proposed solution method is highly methodical,easy to implement and accurate to analyze the behavior of the nonlinear system relating to allied areas of science and technology.

关键词： Toxic-phytoplankton q-HATM zooplankton stability analysis Atangana-Baleanu derivative Laplace transform

Analytical and approximate solutions of nonlinear Schrödinger equation with higher dimension in the anomalous dispersion regime

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2期7卷 143-154页

作者： lanre akinyemi Mehmet Senol M.S.Osman Department of Mathematics Lafayette CollegeEastonPAUSA Nev¸s ehir HacıBekta¸s Veli University Department of MathematicsNev¸s ehirTurkey Department of Mathematics Faculty of ScienceCairo UniversityGiza 12613Egypt

The generalized Riccati equation mapping method(GREMM)is used in this paper to obtain different types of soliton solutions for nonlinear Schrödinger equation with higher dimension that existed in the regimes of anomalous ***,we use the q-homotopy analysis method combined with the Laplace transform(q-HATM)to obtain approximate solutions of the bright and dark optical *** q-HATM illustrates the solutions as a rapid convergent *** addition,to show the physical behavior of the solutions obtained by the proposed techniques,the graphical representation has been provided with some parameter *** findings demonstrate that the proposed techniques are useful,efficient and reliable mathematical method for the extraction of soliton solutions.

关键词： q-homotopy analysis method Generalized Riccati equation mapping method Laplace transform

Multiple-solitons for generalized(2+1)-dimensional conformable Korteweg-de Vries-Kadomtsev-Petviashvili equation

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6期7卷 536-542页

作者： lanre akinyemi Mehmet Senol Orkun Tasbozan Ali Kurt Department of Mathematics Lafayette CollegeEastonPennsylvaniaUSA Nevsehir HacıBektas Veli University Department of MathematicsNevsehirTurkey Mustafa Kemal University Department of MathematicsHatayTurkey Pamukkale University Department of MathematicsDenizliTurkey

This paper studied new class of integral equation called the Korteweg-de Vries-Kadomtsev-Petviashvili(KdV-KP)*** equation consist of the well-known fifth-order KdV equation in the context of the Kadomtsev-Petviashvili *** newly gathered class of sixth-order KdV-KP equation is studied using the sub-equation method to obtain several soliton-type solutions which consist of trigonometric,hyperbolic,and rational *** application of the sub-equation approach in this work draws attention to the outstanding characteristics of the suggested method and its ability to handle completely integrable ***,the obtained solutions have not been reported in the previous literature and might have significant impact on future research.

关键词： Conformable derivative Sub-equation method KdV-KP equations Multiple-soliton solutions

New solitary waves and exact solutions for the fifth-order nonlinear wave equation using two integration techniques

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 2023年第5期8卷 475-480页

作者： Ahmed H.Arnous Mohammad Mirzazadeh lanre akinyemi Arzu Akbulut Department of Physics and Engineering Mathematics Higher Institute of EngineeringEl Shorouk AcademyCairoEgypt Department of Engineering Sciences Faculty of Technology and EngineeringEast of GuilanUniversity of GuilanRudsar-VajargahIran Department of Mathematics Lafayette CollegeEastonPennsylvaniaUSA Department of Mathematics Computer Faculty of Art ScienceEskisehir Osmangazi UniversityEskisehirTurkey

In this paper,we discussed the enhanced Kudryashov’s and general projective Riccati equations tech-niques for obtaining exact solutions to the fifth-order nonlinear water wave(FONLWWE)*** the enhanced Kudryashov’s method,we were able to achieve solitary wave and singular soliton ***-shock hybrid wave,singular soliton,and periodic wave solutions were discovered when we em-ployed the general projective Riccati equations *** can say the given methods are effective and powerful for obtaining exact *** findings in this paper are critical for explaining a wide range of scientific and oceanographic applications involving ocean gravity waves and other related phenomena.

关键词： Enhanced Kudryashov method Riccati equation Water waves Fifth-order nonlinear model Solitons

New soliton wave solutions of a(2+1)-dimensional Sawada-Kotera equation

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 2023年第5期8卷 527-532页

作者： Kong Debin Hadi Rezazadeh Najib Ullah Javad Vahidi Kalim U.Tariq lanre akinyemi Department of Mathematics Yantai Nanshan UniversityShandong 265713China Faculty of Engineering Technology Amol University of Special Modern TechnologiesAmolIran Department of Mathematics COMSATS University IslamabadIslamabad 45550Pakistan Department of Applied Mathematics Iran University of Science and TechnologyTehranIran Department of Mathematical Sciences University of South AfricaPretoria 0002South Africa Department of Mathematics Mirpur University of Science and TechnologyMirpur 10250(AJK)Pakistan Department of Mathematics Lafayette CollegeEastonPennsylvaniaUnited States

In this work,we studied a(2+1)-dimensional Sawada-Kotera equation(SKE).This model depicts non-linear wave processes in shallow water,fluid dynamics,ion-acoustic waves in plasmas and other phe-nomena.A couple of well-established techniques,the Bäcklund transformation based on the modified Kudryashov method,and the Sardar-sub equation method are applied to obtain the soliton wave solution to the(2+1)-dimensional *** illustrate the behavior of the nonlinear model in an appealing fashion,a variety of travelling wave solutions are formed,such as contour,2D,and 3D *** pro-posed approaches are proved more convenient and dominant for getting analytical solutions and can also be implemented to a variety of physical models representing nonlinear wave phenomena.

关键词： Modified Kudryashov method Sardar-sub equation method Bäcklund transformation(2+1)-dimensional SKE Soliton wave solutions

Some novel integration techniques to explore the conformable M-fractional Schrödinger-Hirota equation

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4期7卷 337-344页

作者： Asim Zafar M.Raheel M.Asif Kamyar Hosseini Mohammad Mirzazadeh lanre akinyemi Department of Mathematics COMSATS University IslamabadVehari CampusPakistan Department of Mathematics and Statistics ISP MultanPakistan Department of Mathematics Rasht BranchIslamic Azad UniversityRashtIran Department of Engineering Sciences Faculty of Technology and EngineeringEast of GuilanUniversity of GuilanVajargah P.C.44891-63157RudsarIran Department of Mathematics Lafayette CollegeEastonPAUSA

The current study deals with exact soliton solutions for Schrödinger-Hirota(SH)equation via two modi-fied integration *** methods are known as the improved(G/G)-expansion method and the Kudryashov *** model is a generalized version of the nonlinear Schrödinger(NLS)equation with higher order dispersion and cubic *** can be considered as a more accurate approximation than the NLS equation in explaining wave propagation in the ocean and optical fibers.A novel deriva-tive operator named as the conformable truncated M-fractional is used to study the above mentioned *** obtained results can be used in describing the Schrödinger-Hirota equation in some better *** the obtained results are verified through symbolic computational ***,the ob-tained results show that the suggested approaches have broaden capacity to secure some new soliton type solutions for the fractional differential equations in an effective *** the end,the results are also explained through their graphical representations.

关键词： Shrödinger-Hirota equation Truncated M-fractional derivative Soliton solutions

Chirped optical solitons and stability analysis of the nonlinear Schrödinger equation with nonlinear chromatic dispersion

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Communications in Theoretical Physics 2023年第8期75卷 54-62页

作者： Thilagarajah Mathanaranjan Mir Sajjad Hashemi Hadi Rezazadeh lanre akinyemi Ahmet Bekir Department of Mathematics and Statistics University of JaffnaSri Lanka Department of Computer Engineering Biruni University34010 IstanbulTurkey Faculty of Engineering Technology Amol University of Special Modern TechnologiesAmolIran Department of Mathematics Lafayette CollegeEastonPAUnited States of America Neighborhood of Akcaglan Imarli StreetNumber:28/426030EskisehirTurkey

The present paper aims to investigate the chirped optical soliton solutions of the nonlinear Schrödinger equation with nonlinear chromatic dispersion and quadratic-cubic law of refractive *** exquisite balance between the chromatic dispersion and the nonlinearity associated with the refractive index of a fiber gives rise to optical solitons,which can travel down the fiber for intercontinental *** effective technique,namely,the new extended auxiliary equation method is implemented as a solution *** types of chirped soliton solutions including dark,bright,singular and periodic soliton solutions are extracted from the Jacobi elliptic function solutions when the modulus of the Jacobi elliptic function approaches to one or *** obtained chirped optical soliton solutions might play an important role in optical communication links and optical signal processing *** stability of the system is examined in the framework of modulational instability analysis.

关键词： nonlinear chromatic dispersion quadratic-cubic law chirped solitons modulational instability analysis