DOI: 10.1088/0256-307X/21/12/014 Corpus ID: 121230147. Travelling Wave Solutions of Triple Sine–Gordon Equation @article{Chengshi2004TravellingWS, title={Travelling Wave Solutions of Triple Sine–Gordon Equation}, author={Liu Cheng-shi}, journal={Chinese Physics Letters}, year={2004}, volume={21}, pages={2369-2371} }

Aug 1, 2017 that term is nonzero we give all the basic traveling wave solutions based on a the sine-Gordon and the sinh-Gordon equations belong to this class, all of them with with soliton solution if p > 0, or periodic sol

Functional separable solutions: w(x Apr 21, 2020 Traveling wave solutions of the sine-Gordon equation are of the form its corresponding solution χ to the Lax equations (3.1) and (3.2) with a Note that (13) confirms to the condition for a double well potential well and there by existence of tanh soliton [9]. Let us look for travelling wave solutions of the sine- This paper applies the sine-Gordon expansion method to the extended nonlinear solution was subsequently derived from that transformed bilinear equation. we apply SGEM to the Equation (1) for obtaining new traveling wave solutions. study the numerical solution of the two-dimensional sine-Gordon equation on R2. out of the domain Di through the east boundary Σe and no waves travel from.

Some explicit travelling-wave solutions of a perturbed sine-Gordon equation Gaetano Fiore Dip. di Matematica e Applicazioni, Universit`a “Federico II”, V. Claudio 21, 80125 Napoli Abstract We present in closed form some special travelling-wave solutions (on the real line or on the circle) of a perturbed sine-Gordon equation. The DOI: 10.1088/0256-307X/21/12/014 Corpus ID: 121230147. Travelling Wave Solutions of Triple Sine–Gordon Equation @article{Chengshi2004TravellingWS, title={Travelling Wave Solutions of Triple Sine–Gordon Equation}, author={Liu Cheng-shi}, journal={Chinese Physics Letters}, year={2004}, volume={21}, pages={2369-2371} } Se hela listan på scholarpedia.org Under the assumption that u ' is a function form of e inu , this paper presents a new set of traveling-wave solutions with JacobiAmplitude function for the generalized form of the double Sine-Gordon equation u tt = ku xx + 2 α sin ( nu ) + β sin ( 2 nu ) . of the sine-Gordon equation when the underlying wave is a travelling wave. This is related to the work done in [DDvGV03], where stability of a singularly perturbed subluminal kink wave solution was shown. Travelling wave solutions to the sine-Gordon equation for which the quantity c2 1 < 0 are called subluminal waves.

Kink Waves Travelling wave solutions to the sine-Gordon equation for which the quantity c2 − 1 < 0 are called subluminal waves. When c2 − 1 > 0 they are called superluminal waves. We have the following theorem: Theorem 1. Kink wave solutions to equation (1) utt = uxx + sin u, are spectrally stable if c2 6= 1. 2.1.

Some New Exact Traveling Wave Solutions of Double-sine-Gordon Equation. February 2008; Communications in Theoretical Physics 49(2):303 New Travelling Wave Solutions for Time-Space Fractional Liouville and Sine-Gordon Equations 3 1 Definition 2. Let a 0 , ta , (,]g be a function defined on at and . Then, 2 the th order fractional integral of function g is defined as (Khalil et al., 2014), 1 () .

Sine gordon equation travelling wave solution

img. Wronskian Determinant Solutions for the (3 + 1) Dimensional PDF) N-Rotating Loop-Soliton Solution of the Coupled .

In this chapter, a series of mathematical transformations is applied to the sine-Gordon equation in order to convert it to a form that can be solved. The new form appears to be considerably more complicated than the original; however, it readily yields a traveling wave solution by application of the tanh method.

The sine-Gordon equation appears in differential geometry and relativistic field theory. It is 2. The Proposed Method. Our method is based on two assumptions. Then, the main steps are as follows.
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The travelling wave fronts in the sine-Gordon equation are stable ifc2 < 1 and in this paper we will show that the perturbed travelling wave fronts are linearly stable too. When β = 0, this immediately gives nonlinear stability due to a result in [2]. The linearised equation about a travelling wave can be written as an eigenvalue problem. By

3777-3781 ] are analyzed. We have observed that fourteen solutions by Li from thirty do not satisfy the equation. The other sixteen exact solutions Using a complete discrimination system for polynomials and elementary integral method, we obtain the travelling solutions for triple sine-Gordon equation.

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DOI: 10.1088/0256-307X/21/12/014 Corpus ID: 121230147. Travelling Wave Solutions of Triple Sine–Gordon Equation @article{Chengshi2004TravellingWS, title={Travelling Wave Solutions of Triple Sine–Gordon Equation}, author={Liu Cheng-shi}, journal={Chinese Physics Letters}, year={2004}, volume={21}, pages={2369-2371} }

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