sine-Gordon equation
Generalized solution of Sine-Gordon equation
... the Sine-Gordon equation in generalized function theory, we give a result of existence and uniqueness of generalized solution with initial data are distributions (elements of the Colombeau ...
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Legendre spectral element method for solving sine Gordon equation
... the sine-Gordon ...and sine-Gordon ...the sine-Gordon equation with periodic boundary ...the sine-Gordon nonlinear hyperbolic equation in one space ...
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A Reduced-Order Extrapolating Finite Difference Iterative Scheme for 2D Generalized Nonlinear Sine-Gordon Equation
... nonlinear Sine-Gordon equation has been built by means of the POD ...nonlinear Sine- Gordon ...nonlinear Sine-Gordon ...
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An Expansion Based on Sine-Gordon Equation to Solve KdV and modified KdV Equations in Conformable Fractional Forms
... fractional Sine-Gordon equation is implemented to construct some real and complex valued exact solutions to the Korteweg-de Vries and modified Korteweg-de Vries equation in time fractional ...
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A conservative difference scheme for the Riesz space fractional sine Gordon equation
... In this paper, we study a conservative difference scheme for the sine-Gordon equation (SGE) with the Riesz space fractional derivative. We rigorously establish the conservation property and ...
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Decay of bound states in a sine Gordon equation with double well potentials
... The paper is outlined as follows. In Sec. II, we construct a perturbation expansion to solve the undriven sine-Gordon equation for the localized modes to obtain equations for the slow time evolution ...
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A Crank–Nicolson finite difference scheme for the Riesz space fractional order parabolic type sine Gordon equation
... In this paper, we focus on the study of the Crank–Nicolson finite difference (CNFD) scheme for the Riesz space fractional-order parabolic-type sine-Gordon equation (RSFOPTSGE). For this purpose, we ...
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Degenerate multi-solitons in the sine-Gordon equation
... Abstract: We construct various types of degenerate multi-soliton and multi-breather solutions for the sine-Gordon equation based on B¨acklund transformations, Darboux- Crum transformations and ...
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A new approach for one dimensional sine Gordon equation
... In this work, we use a reproducing kernel method for investigating the sine-Gordon equation with initial and boundary conditions. Numerical experiments are studied to show the efficiency of the ...
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On The Exact Solutions to Conformable Time Fractional Equations in EW Family Using Sine-Gordon Equation Approach
... [4] Taghizadeh, N., Mirzazadeh, M., & Farahrooz, F. (2011). Exact soliton solu- tions of the modified KdV-KP equation and the Burgers-KP equation by using the first integral method. Applied Mathematical ...
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An optimized Crank–Nicolson finite difference extrapolating model for the fractional order parabolic type sine Gordon equation
... In this paper, by means of a proper orthogonal decomposition (POD) we mainly reduce the order of the classical Crank–Nicolson finite difference (CCNFD) model for the fractional-order parabolic-type ...
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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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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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Adomian Polynomial and Elzaki Transform Method for Solving Sine-Gordon Equations
... HE Sine Gordon equation is one of the most important equations in partial differential equations because of its applications in applied ...This equation plays a major role in the propagation ...
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New study to construct new solitary wave solutions for generalized sinh- Gordon equation
... The sine-Gordon equation is one of the essential nonlinear equations in mathematics and ...this equation. This equation arises as a special case of the Toda lattice equation, a ...
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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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Surfaces of Constant Curvature in the Pseudo Galilean Space
... differential equation. In this respect, the Klein-Gordon equation plays the analogous role in the pseudo-Galilean space as the sine-Gordon equation in Euclidean ...
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Geometrical interpretations of Bäcklund transformations and certain types of partial differential equations : a thesis presented in partial fulfilment of the requirements for the degree of Master of Science in Mathematics at Massey University
... We then illustrate how some well known PDEs such as the Schrodinger equation, the sine-Gordon equation, the Liouville equation and the Monge-Ampere equation can be generated from the Gau[r] ...
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Breaking integrability at the boundary: the sine-Gordon model with Robin boundary conditions
... We have examined the wide range of processes and outcomes arising from the collision of an antikink solution to the sine-Gordon equation with a non-integrable Robin boundary. An important feature of ...
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Block Unification Scheme for Elliptic, Telegraph, and Sine Gordon Partial Differential Equations
... C is the velocity of the solitary wave, and the boundary conditions are given according. The problem is solved for C = 0.5 , ∆ = t 0.125 , and ∆ = t 0.04 . This example was chosen to demonstrate that the EBNUM can be ...
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