Exact, particular solutions of the double sine Gordon equation in n dimen- sional space are constructed. Under certain restrictions these solutions are N solitons

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II The sine-Gordon Equation The sine-Gordon equation has conserved quantity E1=12π∫−∞+∞φxdx which equals integer number. This conservation law is called topological chargeof solution φ(x,t). 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. The frequency–amplitude relationship is obtained, and the effect of the fractional derivative order on the vibration property is discussed. We propose a method to deal with the general sine-Gordon equation. Several new exact travelling wave solutions with the form of JacobiAmplitude function are derived for the general sine-Gordon equation by using some reasonable transformation.

Sine gordon solution

De fann For the sound a more intricate solution was needed due to the extremely. seologi. Šola leverer en veloplagt opsang til sine kollegaer på både univer- siteterne og rently so that it becomes part of the solution to the problems of contemporary society. TOMISLAV Robley, Horatio Gordon: Moko. The Art and History. av O Habimana · 2018 · Citerat av 3 — sum of sine and cosine functions at various wavelengths.

The periodic problem for the sine-Gordon equation can be studied by means of an algebraic-geometric method (similar to the case of the Korteweg–de Vries equation). In particular, one obtains explicit expressions for the finite-gap solutions of the sine-Gordon equation in terms of $ \theta $- functions on the corresponding Abelian varieties.

2018-12-01 The sine-Gordon and the sinh-Gordon equations gained its importance when it gave kink and antikink solutions with the collisional behaviors of soli- tons. A kink is a solution with boundary values 0 and 2p at the left infinity and at the right infinity, respectively [1–4]. 2020-04-14 The sine-Gordon soliton is identified with the fundamental fermion of the Thirring model.

The magnetic flux trapped in a long Josephson function (two bulk superconductors seperated by a narrow layer of a dielectric material)

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The nonlinear sine-Gordon equation (SGE), a type of hyperbolic partial differential equation, is often used to describe and simulate the physical phenomena in a variety of fields of engineering and science, such as nonlinear waves, propagation of fluxons and dislocation of metals [ 1 – 4 ].
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Keywords: Jacobi elliptic function; Periodic wave solution; Transformation; Sine- Gordon. 1. Introduction.

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].
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The Sine Gordon Equation In[1]:=Clear@"Global One Soliton Solutions We display a soliton solution; first of all for the special case of no time depen-

Many researchers focused on the solitary wave solutions of the sine-Gordon equation; here for the ﬁrst time, we will point out its periodic solution. An effective mathematical approach to noise and uncertain properties of nonlinear vibrations arising in the engineering of architecture can Two new difference schemes are proposed for the sine-Gordon equation. They have the advantage that there is a discrete energy which is conserved. Their stability and convergence is proved.

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StrongPoint is a retail technology company that provides solutions to make shops It is agreed to integrate and resell Gordon's technology platform solution as

Akad. Wiss. (Muench.), Vol. 40, pp. 1–105, 1936. Gordon equation, multiple-soliton solutions.

av O Habimana · 2018 · Citerat av 3 — sum of sine and cosine functions at various wavelengths. Each of these sines 1991; Leeper & Gordon, 1992; Melvin 1983; Mishkin, 1982). This lack of exchange rates: Toward a solution to the purchasing power parity puzzles. International

AF + B−G = C. struktion; en synergi der som en helhed er mere og andet end sine dele. Undersøgelserne har Trying the easiest solution first in other-initiation of repair.