Add to ORKGThis thesis investigates the nonlinear partial differential equation known as sine-Gordon and its special soliton solutions.Simpler analytical results are derived and more advanced methods and their results are discussed.Further, a finite difference scheme is derived, implemented and compared against a known energy conserving scheme of sine-Gordon in terms of stability, accuracy, convergence and computation time.The complete solvability of the equation enables comparison between numerical solutions and their analytical counterparts.No unified answer to which numerical scheme is best was determined as they both were shown to have pros and cons
In this paper, we develop the dressing method to study the exact solutions for the vector sine-Gordo...
We study the stepwise sine-Gordon equation, in which the system parameter is different for positive ...
We give arguments for the existence of exact travelling-wave solutions, of old ( in particular solit...
This thesis investigates the nonlinear partial differential equation known as sine-Gordon and its sp...
Abstract A numerical solution for Sine-Gordon type system was done by the use of two finite differ...
In this paper, a new scheme, which has energy-preserving property, is proposed for solving the sine-...
This paper explores the utility of a sixth-order compact finite difference (CFD6) scheme for the sol...
This paper explores the utility of a sixth-order compact finite difference (CFD6) scheme for the sol...
26. Sine{Gordon equation In view of the remarkable properties of the KdV equation (! ref), it is nat...
There are many models of DNA, both the linear ones and the nonlinear ones. One interesting model in ...
We study soliton solutions of the Sinh-Gordon equation. It is also shown that the Cosh-Gordon equat...
In this paper, we develop the dressing method to study the exact solutions for the vector sine-Gordo...
It is nonperturbatively proved that the damped, dc driven sine-Gordon equation has stable, soliton-l...
In this work, we use a reproducing kernel method for investigating the sine-Gordon equation with ini...
A numerical method based on radial basis functions (RBFs) is pro-posed for the numerical solution of...
In this paper, we develop the dressing method to study the exact solutions for the vector sine-Gordo...
We study the stepwise sine-Gordon equation, in which the system parameter is different for positive ...
We give arguments for the existence of exact travelling-wave solutions, of old ( in particular solit...
This thesis investigates the nonlinear partial differential equation known as sine-Gordon and its sp...
Abstract A numerical solution for Sine-Gordon type system was done by the use of two finite differ...
In this paper, a new scheme, which has energy-preserving property, is proposed for solving the sine-...
This paper explores the utility of a sixth-order compact finite difference (CFD6) scheme for the sol...
This paper explores the utility of a sixth-order compact finite difference (CFD6) scheme for the sol...
26. Sine{Gordon equation In view of the remarkable properties of the KdV equation (! ref), it is nat...
There are many models of DNA, both the linear ones and the nonlinear ones. One interesting model in ...
We study soliton solutions of the Sinh-Gordon equation. It is also shown that the Cosh-Gordon equat...
In this paper, we develop the dressing method to study the exact solutions for the vector sine-Gordo...
It is nonperturbatively proved that the damped, dc driven sine-Gordon equation has stable, soliton-l...
In this work, we use a reproducing kernel method for investigating the sine-Gordon equation with ini...
A numerical method based on radial basis functions (RBFs) is pro-posed for the numerical solution of...
In this paper, we develop the dressing method to study the exact solutions for the vector sine-Gordo...
We study the stepwise sine-Gordon equation, in which the system parameter is different for positive ...
We give arguments for the existence of exact travelling-wave solutions, of old ( in particular solit...