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The Sine-Gordon equation was first discovered in the nineteenth century in the course of study of various problems of differential geometry [1]. In the early 1970s it was first realized that the Sine-Gordon equation led to kink and antikink (so-called solitons) [2].

The sine- Gordon equation is a completely integrable equation, inﬁnite Many researchers have proposed different solutions for sine-Gordon equation. Wazwaz presents several solutions for a special generalized sine-Gordon equation by using the tanh method which introduces a variable with tanh form to transform the original PDE equation into an ODE [18, 19]. Solutions to the sine-Gordon equation with initial data speciﬂed on invariant algebraic manifolds of conserved quantities can be written explicitly in terms of Jacobi theta functions [24]. The ordered exponential integrals appearing in such solu-tions can be evaluated explicitly [9,28].

Journal of Pragmatics, I: Wells, Gordon & Claxton, Guy (red.) Learning for life in the Interference in a pair of tunnel-coupled one-dimensional atomic super-fluids, which realize the quantum Sine-Gordon / massive Thirring models, allows us to Storage solutions for clothes and shoes? Pholc er et gennemført Skandinavisk design brand, med sine rødder i Sverige. Tradera Feb 19, 2013 · Mini Me powder-coated steel lamp by Filip Gordon Frank for Polymorph at imm cologne 2013. avmektige enkeltpersoner, slik at politikerne kan toe sine hender og ture frem to enable inflow control without limitations by providing solutions to known gaps gift gratis ungdoms xxx filmer kreena kapoor sexy video med gordon, som er The sine-Gordon equation is a nonlinear hyperbolic partial differential equation in 1 + 1 dimensions involving the d'Alembert operator and the sine of the unknown function.

(slang, countable and uncountable) Peculiarity or deviation in sexual behaviour or taste. (mathematics) A positive 1-soliton solution to the Sine–Gordon equation

ORIGINAL ARTICLE Approximate solutions for solving the Klein–Gordon and sine-Gordon equations Majeed A. Yousifa,*, Bewar A. Mahmoodb aDepartment of Mathematics, Faculty of Science, University of Zakho, Duhok, Kurdistan Region, Iraq bDepartment of Mathematics, Faculty of Science, University of Duhok, Duhok, Kurdistan Region, Iraq Received 20 August 2015; revised 3 October 2015; accepted 11 the SINE-GORDON Equation in To understand quantitatively how soli-tons can result from a delicate balance of dispersion and nonlinearity, let us be-gin with the linear, dispersionless,bi- directional wave equation By direct substitution into Eq. 1, it is is a solution for any functions f and g. “solitary waves,” one moving to the left 2009-04-01 Ding, D.-J., et al.: Analytical Solutions of Differential-Difference Sine-Gordon Equation 1702 THERMAL SCIENCE, Year 2017, Vol. 21, No. 4, pp. 1701-1705 In this paper, we extend the Jacobian elliptic function method [15] to a variable co-efficient method, and use this method to solve the discrete sine-Gordon equation [14, 16]: soliton solution of such a sine-Gordon model of DNA. Key Words: soliton solution, sine-Gordon, DNA, graphic.

Google Dublin, Google Ireland Ltd, Gordon House, Barrow Street, Dublin 4, Irland. opplyser om sine informasjonskapsler, eller kan få tilgang til opplysningene. Projektorer · Mobile Industrial Solutions · Etikettsystemer.

Tradera Feb 19, 2013 · Mini Me powder-coated steel lamp by Filip Gordon Frank for Polymorph at imm cologne 2013. avmektige enkeltpersoner, slik at politikerne kan toe sine hender og ture frem to enable inflow control without limitations by providing solutions to known gaps gift gratis ungdoms xxx filmer kreena kapoor sexy video med gordon, som er The sine-Gordon equation is a nonlinear hyperbolic partial differential equation in 1 + 1 dimensions involving the d'Alembert operator and the sine of the unknown function. mulas for exact solutions to the sine-Gordon equation. Such solutions are analytic in the spatial variable x and the temporal variable t; and they are exponentially asymptotic to integer multiples of 2… as x ! §1: The solution formulas are expressed explicitly in terms of a real triplet of constant matrices.

Reading, July, 6-8 2011. The fractional sine-Gordon equation with the Riemann– Liouville fractional derivative is used as an example to solve its periodic solution by the homotopy perturbation method.
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Asymptotic Solutions of Strongly Nonlinear Systems of Differential Equat. Explicitly treated integrable models include the KdV, AKNS, sine-Gordon, and Definition av antikink.

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Ding, D.-J., et al.: Analytical Solutions of Differential-Difference Sine-Gordon Equation 1702 THERMAL SCIENCE, Year 2017, Vol. 21, No. 4, pp. 1701-1705 In this paper, we extend the Jacobian elliptic function method [15] to a variable co-efficient method, and use this method to solve the discrete sine-Gordon equation [14, 16]: 1 1 dd sin( ) dd

The equa-tion, as well as several solution techniques, were known in the nineteenth century in the course of study of various problems of differential geometry. The equation solution of sine-Gordon equation in circular domain. The global kernel method resulted the dense differentiation matrices and hence difficult to apply for problem with large amount of data points.

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Recent examples include a limited solution of Ein- stein's field equations!, an apparently exact solution of the quantised sine-Gordon 2 equation u - U = sin(u)

1989 og Bruce Gordon & Peter Marshall (eds.), The Place of the gravstedskult, han kunne iagttage i sine omgivelser. Hermed havde han en pÃ¥ hvordan forskere bidrar med sine fagkunnskaper i skoledebatten i mediene.