Generalized Nonlinear Sine-Gordon Equation
A Reduced-Order Extrapolating Finite Difference Iterative Scheme for 2D Generalized Nonlinear Sine-Gordon Equation
... 2D generalized nonlinear Sine-Gordon ...2D generalized nonlinear Sine-Gordon equation, employing the POD technique to build a reduced-order extrapolating ...
7
New study to construct new solitary wave solutions for generalized sinh- Gordon equation
... the generalized sine–Gordon equation by using this binary ...many nonlinear partial differential equations in applied mathematics, engineering and mathematical ...
6
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 ( ...
9
Generalized solution of Sine-Gordon equation
... of nonlinear differential equations with singular data and ...of generalized functions introduced by Colombeau in [4, ...the nonlinear wave with a data u|{t < 0} = ...the Sine- ...
6
A New Conservative Difference Scheme for the General Rosenau-RLW Equation
... show nonlinear blow ...differential equation is a criterion to judge the success of a numerical ...the generalized nonlinear Schr ¨odinger equations, Regularized long wave RLW equations, ...
13
Exact solution of nonlinear Klein-Gordon equations with quadratic nonlinearity by modified Adomian decomposition method
... Abstract. In this paper, we used the modified Adomian decomposition method (ADM) to obtain exact solution to Nonlinear Klein-Gordon equation (NK-GE) with quadratic nonlinearity. The paper contains an ...
10
EXACT SOLUTIONS FOR SOME NONLINEAR FRACTIONAL PARABOLIC EQUATIONS
... INTERNATIONAL JOURNAL OF ADVANCES IN ENGINEERING RESEARCH (25)And so on, where μ is a constant. The positive integer M in Eq.(24)can be determined by considering the homogeneous balance between the highest-order ...
17
Breathers in the elliptic sine-Gordon model
... the sine-Gordon model, such also that in the trigonometric limit one only obtains the soliton-antisoliton sector of that model, instead of a theory with a richer particle ...
21
The General Analytical and Numerical Solution for the Nonlinear Klein-Gordon Equation
... The element D is the third 4-D constant of integration, z0 is arbitrary constant and the function Sn[...] is the Jaco- bi elliptic function. Above proposition gives us the general analytical solution for the KleinGordon ...
5
Solitons: A Cutting Edge Scientific Proposal Explaining the Mechanisms of Acupuntural Action
... The nonlinear behavior of the experience transformed the grid into an ideal field for solitons : when a vibrational frequency lost energy, the solitonic interconnections allowed another to begin to gain it from ...
27
Generalized Difference Formula for a Nonlinear Equation
... f x = equation. Among the methods, iteration methods are very popular and are used by many researchers. Bisection method, fixed point iteration, secant method and … [1] – [3] and [8] – [10] are among various ...
7
Necessary conditions for breathers on continuous media to approximate breathers on discrete lattices
... and ω = ω( e x, e t). The level surfaces of θ and φ can be recognized as waves with two distinct slowly varying wave speeds. The moving breather will be periodic in θ with local wave number ωk/µ, local frequency ω 2 /µ ...
18
An Expansion Based on Sine-Gordon Equation to Solve KdV and modified KdV Equations in Conformable Fractional Forms
... such as various forms of Kudryashov approach, exponential rational function tech- nique, simple hyperbolic ansatzes [13–22], the fractional form of the Sine-Gordon equation method is implemented to ...
14
Analysis of the Motion of Frenkel Kontorova Dislocations in Single Crystals of Aluminum with Allowance for the Peierls Barrier
... The simulation was carried out using sine Gordon equation for the one-dimensional Frenkel-Kontorova dislocation model. In the Frenkel-Kontorova model, the atoms above the glide plane are material ...
11
1-Soliton Solution of the Biswas-Milovic Equation With Log Law Nonlinearity
... This paper studied the BME with log law nonlinearity. The 1-soliton solution was obtained by the ansatz method. This solution is also known as Gausson in the context of nonlinear optics. A couple of conserved ...
6
The Finite Difference Methods for –Nonlinear Klein Gordon Equation
... The equation was first proposed by Aubry , Krumhansl and Schrieffer in 1975 and 1976, to describe displacive and order-disorder transitions in solids, mainly magnetic compounds [9 ...a nonlinear (quadratic) ...
5
Infinite sets of polynomial conserved densities for nonlinear evolution equations
... The infinite sets of polynomial conserved densities which have been found for the Korteweg-de Vries equation, the modified Korteweg-de Vries equation, the Sine-Gordon equation, and the c[r] ...
213
Degenerate multi-solitons in the sine-Gordon equation
... Finally we explore how the degenerate solutions may be obtained within the context of Hirota’s direct method [31]. The key idea of this solution procedure is to convert the original nonlinear equations into ...
22
Legendre spectral element method for solving sine Gordon equation
... Schrodinger equation is developed in [8], and the optimal H 1 error estimate for the linear case is ...wave equation by the spectral element method based on the Gauss–Lobatto–Legendre quadrature formulas ...
15