Benjamin-Bona-Mahony equation
Solutions to Benjamin-Bona-Mahony Equation in Two Space Dimensions by Various Methods
... Four methods in two different families have been constructed to derive the exact solutions to Benjamin-Bona-Mahony equation in two space dimen- sions. Simply defined hyperbolic tangent, ...
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A Comparison Between HPM and ADM for the Nonlinear Benjamin–Bona–Mahony Equation
... nonlinear Benjamin–Bona–Mahony Equation (BBME) by Homotopy Perturbation Method (HPM) and Adomian Decomposition Method (ADM) and then formed charts which is include numerical conclusion for ...
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Averaging of the 3D non-autonomous Benjamin-Bona-Mahony equation with singularly oscillating forces
... non-autonomous Benjamin-Bona-Mahony equation with singularly oscillating force contrast with the averaged Benjamin-Bona-Mahony equation (corresponding to the ...
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Rothe’s Fixed Point Theorem and the Controllability of the Benjamin Bona Mahony Equation with Impulses and Delay
... For many control systems in real life, impulses and delays are intrinsic phenomena that do not modify their controllability. So we conjecture that under certain condi- tions the abrupt changes and delays as perturbations ...
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Abundant Lump Solutions and Interaction Phenomena to the Kadomtsev Petviashvili Benjamin Bona Mahony Equation
... In this paper, we obtained a kind of lump solutions of the Kadomtsev- Petviashvili-Benjamin-Bona-Mahony (KP-BBM) equation with the assistance of Mathematica. Some contour plots with different ...
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ANALYTICAL SOLUTION OF TIME-FRACTIONAL NONLINEAR BENJAMIN-BONA-MAHONY EQUATION BY RESIDUAL POWER SERIES METHOD
... Abstract: In this paper a new iterative technique, named as residual power series (RPS) method, is applied to find the approximate solution of the non- linear time-fractional Benjamin-Bona-Mahony ...
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New Exact Solutions of the Modified Benjamin Bona Mahony Equation
... [4] R. Hirota, The Direct Method in Soliton Theory, Cambridge University Press, Cambridge, 2004. [5] S. Tang, Y. Xiao, Z. Wang, Travelling wave solutions for a class of nonlinear fourth order variant of a generalized ...
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Exact Traveling Wave Solutions of Two Nonlinear Evolution Equation Via the exp(- phi(Xi))-expansion Method
... Zakharov-Kuznetsov- Benjamin-Bona-Mahony equation and the good Boussinesq ...evolution equation can be expressed by a polynomial in exp( ( )) , where ( ) satisfies the ...
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Local well-posedness of generalized BBM equations with generalized damping on 1D torus
... Benjamin-Bona-Mahony equation with generalized damping on the one dimensional ...BBM equation, the main difference is that the generalized equation contains two nonlocal ...
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Asymptotic Attractors of Benjamin-Bona-Mahony Equations
... The Benjamin-Bona-Mahony equation was proposed in [ 3 ] as a model for propagation of long waves which incorporates nonlinear dispersive and dissipative ...this equation were studied by ...
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Asymptotic behavior of solutions for the time-delayed equations of Benjamin-Bona-Mahony’s type
... Mahony equation (.). There is literature about delay reaction-diffusion equations [– ], on which our work is based. Recently, the asymptotic behavior of solutions of time- delayed Burgers ...
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Exact solutions of Benjamin-Bona-Mahony-Burgers-type nonlinear pseudo-parabolic equations
... the Benjamin- Bona-Mahony-Burgers (BBMB) equation and the generalized Benjamin-Bona-Mahony- Burgers equation with g(u) = uu x , g(u) = ...
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Solving nonlinear space-time fractional differential equations via ansatz method
... Kuznetsov Benjamin Bona Mahony (ZK-BBM) equation, the space-time fractional Klein-Gordon equation and the space-time fractional modified Regularized Long Wave (RLW) ...
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Traveling Wave Solutions of Nonlinear Evolution Equations Via the New Generalized (G′/G) Expansion Method
... [23] K. Khan, M. A. Akbar and M. N. Alam, Traveling wave solutions of the nonlinear Drinfel’d-Sokolov-Wilson equation and modified Benjamin-Bona-Mahony equations, J. Egyptian Math. Soc., DOI ...
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An approximation to the solution of Benjamin-Bona-Mahony-Burgers equation
... where Ω = (0, 1) and α, β, γ > 0. The BBMB problem has been numerically tackled and investigated by many authors. A spline collocation method for approximating the solution of (1.1) can be found in Manickam et al.[8]. ...
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Walter Benjamin and 4'33"
... When asked about his silent piece, Cage responded, “what really pleases me in that silent piece is that it can be played any time, but only comes alive when you play it. And each time you do, it is an experience of being ...
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A Numerical Study for Blow-up in Solutions of the Generalized 2-D Benjamin-Ono Equation
... [12] Yan Liu, Mingbin WANG, and Lei MENG, Spectral Collocation Method in the Large Deformation Analysis of Flexible Beam, IAENG International Journal of Applied Maths, vol. 48, no.4 (2018), 416-423. [13] F.Z Nouri, D. ...
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Application of the new extended (G'/G) -expansion method to find exact solutions for nonlinear partial differential equation
... paper, we apply this method and achieve exact solutions to nonlinear partial differ- ential equations (NLPDEs), namely the Benjamin-Ono equation. It is establish that the method by Roshid et al. is a very ...
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From real fields to complex Calogero particles
... In the next section we shall demonstrate how a complex one-dimensional PT -symmetric Calogero system is embedded in a real solitonic solution of the Benjamin-Ono wave equa- tion and how constrained PT -symmetric ...
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Solution of space time fractional generalized KdV equation, KdV burger equation and Bona-Mahoney-Burgers equation with dual power-law nonlinearity using complex fractional transformation
... u s a a a a (2.13) be the solution of the equation (2.10) with a i i , 0,1, 2..... n as constants. Then the highest power of in u becomes n 1 ; similarly that of u is n 2 . ...
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