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Wave profile analysis of a couple of(3+1)-dimensional nonlinear evolution equations by sine-gordon expansion approach

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Journal of Ocean Engineering and Science 2022年第3期7卷 272-279页

作者： Md.Rezwan Ahamed Fahim Purobi Rani Kundu Md.Ekramul Islam M.Ali Akbar M.S.Osman Department of Mathematics Pabna University of Science and TechnologyBangladesh Department of Applied Mathematics University of RajshahiBangladesh Department of Mathematics Faculty of ScienceCairo UniversityGiza 12613Egypt Department of Mathematics Faculty of Applied ScienceUmm Alqura UniversityMakkah 21955Saudi Arabia

The(3+1)-dimensional Kadomtsev-Petviashvili and the modified KdV-Zakharov-Kuznetsov equations have a significant impact in modern science for their widespread applications in the theory of long-wave propagation,dynamics of shallow water wave,plasma fluid model,chemical kinematics,chemical engineering,geochemistry,and many other *** this article,we have assessed the effects of wave speed and physical parameters on the wave contours and confirmed that waveform changes with the variety of the free factors in *** a result,wave solutions are extensively analyzed by using the balancing condition on the linear and nonlinear terms of the highest order and extracted different standard wave configurations,containing kink,breather soliton,bell-shaped soliton,and periodic *** extract the soliton solutions of the high-dimensional nonlinear evolution equations,a recently developed approach of the sine-gordon expansion method is used to derive the wave solutions *** sine-gordon expansion approach is a potent and strategic mathematical tool for instituting ample of new traveling wave solutions of nonlinear *** study established the efficiency of the described method in solving evolution equations which are nonlinear and with higher dimension(HNEEs).Closed-form solutions are carefully illustrated and discussed through diagrams.

关键词： sine-gordon expansion approach Kadomtsev-Petviashvili equation modified KdV-Zakharov-Kuznetsov equation soliton solutions

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New Exact Traveling Wave Solutions of the Unstable Nonlinear Schrdinger Equations

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Communications in Theoretical Physics 2017年第12期67卷 761-767页

作者： K.Hosseini D.Kumar M.Kaplan E.Yazdani Bejarbaneh Department of Mathematics Rasht Branch Islamic Azad University Graduate School of Systems and Information Engineering University of Tsukuba Department of Mathematics Bangabandhu Sheikh Mujibur Rahman Science and Technology University Department of Mathematics Art-Science Faculty Kastamonu University Young Researchers and Elite Club Qazvin Branch Islamic Azad University

The present paper studies the unstable nonlinear Schr¨odinger equations, describing the time evolution of disturbances in marginally stable or unstable media. More precisely, the unstable nonlinear Schr¨odinger equation and its modified form are analytically solved using two efficient distinct techniques, known as the modified Kudraysov method and the sine-gordon expansion approach. As a result, a wide range of new exact traveling wave solutions for the unstable nonlinear Schr¨odinger equation and its modified form are formally obtained.

关键词： unstable nonlinear Schrdinger equation modified unstable nonlinear Schrdinger equation modified Kudryashov method sine-gordon expansion approach new exact traveling wave solutions

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