nonlinear sine-Gordon equation
A Reduced-Order Extrapolating Finite Difference Iterative Scheme for 2D Generalized Nonlinear Sine-Gordon Equation
... generalized nonlinear Sine-Gordon equation has been built by means of the POD ...2D nonlinear Sine- Gordon ...2D nonlinear Sine-Gordon ...
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A new approach for one dimensional sine Gordon equation
... The nonlinear one-dimensional sine-Gordon (SG) equation came into sight in the dif- ferential geometry and attracted a lot of attention because of the collisional behaviors of solitons that ...
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A Crank–Nicolson finite difference scheme for the Riesz space fractional order parabolic type sine Gordon equation
... standard sine-Gordon equations (see, ...a nonlinear source term sin(u), the es- tablishment of the CNFD scheme for the RSFOPTSGEs (1)–(3) and theoretical analysis of the stability and convergence and ...
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A matrix-based numerical method for the simulation of the two-dimensional sine-Gordon equation*,, **
... Therefore, if N = 511, A and B have just 261121 elements, versus B ⊕ A, which has 68184176641 elements, of which 266604541 are nonzero! In other words, the problem becomes quickly intractable. Another virtue of the ...
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The New Infinite Sequence Solutions of Multiple Sine Gordon Equations
... double sine-Gordon equation and the treble sine-Gordon equation is researched, and the new solutions are ...double sine-Gordon equation and the treble ...
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The General Analytical and Numerical Solution for the Nonlinear Klein-Gordon Equation
... Klein-Gordon equation is of high impor- tance for mixed scalar and vector ...Klein-Gordon equation plays an impor- tant role in mathematical physics [1, ...The equation has attracted ...
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An optimized Crank–Nicolson finite difference extrapolating model for the fractional order parabolic type sine Gordon equation
... the nonlinear term sin(ϑ), just as the standard fractional-order PDEs in [5–7], also hold very important physical meanings, such as phe- nomena in fluid dynamics in porous media, groundwater dynamics, and seepage ...
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Global Attractors for a Class of Generalized Nonlinear Kirchhoff Sine Gordon Equation
... u with respect to the variable t; u xx is the two-order partial derivative of the u about the independent variable x. Subsequently, Zhu [4] considered the following problem: u tt − α u t − u xx + λ g ( sin u ) = f x t ( ...
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A conservative difference scheme for the Riesz space fractional sine Gordon equation
... there are a few works on fractional-order SGEs. Ray [20] combined the modified decom- position method and Fourier transform to approximate the solution of a fractional SGE. In [21], a family of breather-like solutions for ...
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A Numerical Method for Computing Radially Symmetric Solutions of a Dissipative Nonlinear Modified Klein-Gordon Equation
... the nonlinear Klein-Gordon equation for the same nonlinear term we study in this paper; one of the most important features of their numerical method was that the discrete energy associated ...
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Numerical Solution of Nonlinear Klein Gordon Equation Using Lattice Boltzmann Method
... differential equation appear in many areas of scientific fields such as solid state physics, plasma physics, fluid dynamics, ma- thematical biology and chemical ...The nonlinear Klein-Gordon ...
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Adomian Polynomial and Elzaki Transform Method for Solving Sine-Gordon Equations
... In this paper, we find the solutions of nonlinear Sine Gordon equations and coupled Sine Gordon equation by Elzaki transform method and Adomian Polynomial. This method gives the ...
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On The Exact Solutions to Conformable Time Fractional Equations in EW Family Using Sine-Gordon Equation Approach
... many nonlinear PDE problems symbolically due to faster symbolic algebraic manipulations when com- pared with study with ...to nonlinear PDEs can be determined by implementation of sine-cosine ...
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An Expansion Based on Sine-Gordon Equation to Solve KdV and modified KdV Equations in Conformable Fractional Forms
... weakly nonlinear PDE with soliton type wave solutions in shallow water surface is Korteweg-de Vries (KdV) ...KdV equation is completely integrable and has wave solutions of classical solitary wave type ...
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Numerical Solution of the Nonlinear Klein Gordon Equation Using Multiquadric Quasi interpolation Scheme
... Burgers’ equation and KdV equation by using MQ quasi-interpolation without solving a large scale linear ...solve sine-Gordon equation by using high accuracy MQ quasi-interpolant ...
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Generalized solution of Sine-Gordon equation
... of nonlinear differential equations with singular data and ...the nonlinear wave with a data u|{t < 0} = ...the Sine- Gordon equation which a nonlinear wave, but in this time ...
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Degenerate multi-solitons in the sine-Gordon equation
... classical nonlinear integrable ...original nonlinear equation they also have a relatively easy starting ...the sine-Gordon model as the limit to the degenerate case could be taken ...
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Multisymplectic approach to integrable defects in the sine-Gordon model
... the sine-Gordon model studied in this paper (given the natural symmetric role of x and t for this model), the same fact was found also for the nonlinear Schr¨ odinger equation in ...
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Multisymplectic approach to integrable defects in the sine-Gordon model
... the sine-Gordon model studied in this paper (given the natural symmetric role of x and t for this model), the same fact was found also for the nonlinear Schr¨ odinger equation in ...
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Decay of bound states in a sine Gordon equation with double well potentials
... the nonlinear coupling of the bound states and extended modes, which yields energy transfer from the localized modes to the continuous spectrum, is removed by ...
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