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Journal of Ocean Engineering and Science 2017年第3期2卷 196-202页

作者： harun-or roshid Department of Mathematics Pabna University of Science and TechnologyPabnaBangladesh

By using modified simple equation method,we study the generalized RLW equation and symmetric RLW equation,the subsistence of solitary wave,periodic cusp wave,periodic bell wave solutions are *** establish some conditions on the parameters for which the obtained solutions are dark or bright *** proficiency of the methods for constructing exact solutions has been ***,the variety of structure and graphical representation makes the dynamics of the equations visible and provides the mathematical foundation in shallow water,plasma and ion acoustic plasma waves.

关键词： The modified simple equation method The gRLW equation The symmetric RLW equation Periodic cusp wave solutions Periodic bell wave solutions

Closed form soliton solutions of three nonlinear fractional models through proposed improved Kudryashov method

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Chinese Physics B 2021年第5期30卷 192-205页

作者： Zillur Rahman M Zulfikar Ali harun-or roshid Department of Mathematics Comilla UniversityCumilla-3506Bangladesh Department of Mathematics Rajshahi UniversityRajshahi-6205Bangladesh Department of Mathematics Pabna University of Science and TechnologyPabna-6600Bangladesh

We introduce a new integral scheme namely improved Kudryashov method for solving any nonlinear fractional differential ***,we apply the approach to the nonlinear space-time fractional model leading the wave to spread in electrical transmission lines(s-tfETL),the time fractional complex Schrödinger(tfcS),and the space-time M-fractional Schrödinger-Hirota(s-tM-fSH)models to verify the effectiveness of the proposed *** implementing of the introduced new technique based on the models provides us with periodic envelope,exponentially changeable soliton envelope,rational rogue wave,periodic rogue wave,combo periodic-soliton,and combo rational-soliton solutions,which are much interesting phenomena in nonlinear *** the results disclose that the proposed technique is very effective and straight-forward,and such solutions of the models are much more fruitful than those from the generalized Kudryashov and the modified Kudryashov methods.

关键词： improved Kudryashov method fractional electrical transmission line equation fractional nonlinear complex Schrödinger equation M-fractional Schrödinger-Hirota(s-tM-fSH)

Dynamical interactions between higher-order rogue waves and various forms ofn-soliton solutions(n→∞)of the(2+1)-dimensional ANNV equation

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Chinese Physics B 2020年第11期29卷 391-397页

作者： Md Fazlul Hoque harun-Or-roshid Fahad Sameer Alshammari Department of Mathematics Pabna University of Science and TechnologyPabna 6600Bangladesh Department of Mathematics College of Science at AlkharjPrince Sattam bin Abdulaziz UniversityAlkharjSaudi Arabia

We present new lemmas,theorem and corollaries to construct interactions among higher-order rogue waves,n-periodic waves and n-solitons solutions(n→∞)to the(2+1)-dimensional asymmetric Nizhnik-Novikov-Veselov(ANNV)*** examples for theories are given by choosing definite interactions of the wave solutions for the *** particular,we exhibit dynamical interactions between a rogue and a cross bright-dark bell wave,a rogue and a cross-bright bell wave,a rogue and a one-,two-,three-,four-periodic *** addition,we also present multi-types interactions between a rogue and a periodic cross-bright bell wave,a rogue and a periodic cross-bright-bark bell ***,we physically explain such interaction solutions of the model in the 3D and density plots.

关键词： the(2+1)-dimensional asymmetric Nizhnik-Novikov-Veselov(ANNV)equation higher-order rogue waves n-solitons periodic waves bright-dark bell waves

Multi-soliton fusion phenomenon of Burgers equation and fission, fusion phenomenon of Sharma-Tasso-Olver equation

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Journal of Ocean Engineering and Science 2017年第2期2卷 120-126页

作者： harun Or-roshid M.M.Rashidi Department of Mathematics Pabna University of Science and TechnologyPabna 6600Bangladesh Shanghai Key Lab of Vehicle Aerodynamics and Vehicle Thermal Management Systems Tongji University4800 Cao An Rd.JiadingShanghai 201804China ENN-Tongji Clean Energy Institute of Advanced Studies China

A direct rational exponential scheme is proposed to construct exact multi-soliton solutions and its fission,fusion phenomena after interaction of the solitons has been *** have considered the Burgers and Sharma-Tasso-Olver equation as two concrete examples to show the fission and fusion of the solitary wave and the solitons,*** improve different structured multi-soliton solutions with possible conditions for fission and fusion of the Burgers and the Sharma-Tasso-Olver equations arises in plasma physics and in ocean *** amplitude and velocity relations between solitons and/or solitary waves before and after interactions are given and a possible condition for fission and fusion is ***,three-dimensional plots of the wave solutions are given to visualize the dynamics of the model.©2017 Shanghai Jiaotong *** by Elsevier B.V.

关键词： Direct rational exponential scheme Burger equation Sharma-Tasso-Olver equation Traveling wave solutions Multi-soliton

Bifurcation Analysis and Bounded Optical Soliton Solutions of the Biswas-Arshed Model

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Computer Modeling in Engineering & Sciences 2023年第6期135卷 2197-2217页

作者： Fahad Sameer Alshammari Md Fazlul Hoque harun-Or-roshid Muhammad Nadeem Department of Mathematics College of Science at AlkharjPrince Sattam bin Abdulaziz UniversityAlkharj11942Saudi Arabia Department of Mathematics Pabna University of Science and TechnologyPabna6600Bangladesh Faculty of Science Yibin UniversityYibin644000China

We investigate the bounded travelling wave solutions of the Biswas-Arshed model(BAM)including the low group velocity dispersion and excluding the self-phase *** integrate the nonlinear structure of the model to obtain bounded optical solitons which pass through the optical fibers in the non-Kerr *** bifurcation technique of the dynamical system is used to achieve the parameter bifurcation sets and split the parameter space into various areaswhich correspond to different phase *** bounded optical solitons and bounded periodic wave solutions are identified and derived conforming to each region of these phase *** also apply the extended sinh-Gordon equation expansion and the generalized Kudryashov integral schemes to obtain additional bounded optical soliton solutions of the BAM *** present more bounded optical shock waves,the bright-dark solitary wave,and optical rogue waves for the structure model via these schemes in different aspects.

关键词： The Biswas-Arshed model the extended sinh-Gordon equation expansion the generalized Kudryashov approach shock wave double solitons optical singular double solitons chirp-free bright-dark double solitons

New solitary wave in shallow water,plasma and ion acoustic plasma via the GZK-BBM equation and the RLW equation

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Propulsion and Power Research 2017年第1期6卷 49-57页

作者： harun-or roshid Md.Mamunur roshid Nizhum Rahman Mst.Razia Pervin Department of Mathematics Pabna University of Science and TechnologyPabna 6600Bangladesh Department of Natural Sciences Daffodil International UniversityDhaka 1207Bangladesh Department af Mathematics Mawlana Bhashani Science and Technology UniversitySantnsh 1902Bangladesh

This work obtains the disguise version of exact solitary wave solutions of the generalized(2+1)-dimensk>nal Zakharov-Kuznetsov-Benjamin-Bona-Mahony and the regularized long wave equation with some free parameters via modified simple equation method(MSE).Usually the method does not give any solution if the balance number is more than one,but we apply MSE method successfully in different way to carry out the solutions of nonlinear evolution equation with balance number *** some graphical results of the velocity profiles are presented for different values of the material *** is shown that this method,without help of any symbolic computation,provide a straightforward and powerful mathematical tool for solving nonlinear evolution equation.

关键词： The modified simple equation method Exact traveling wave solution Generalized Zakharov-Kuznetsov-Benjamin-Bona-Mahony(GZK-BBM) The regularized long wave equation Balance number Nonlinear evolution equations(NLEEs)