Add to ORKGAbstract: In this paper, a type of fully nonlinear Sine-Gordon equations and the approximate Sine-Gordon equation (under the condition: |u p |is very small) are studied.Through proper transformation, some initial value problems of many equations with special nonlinear terms are solved by the Adomian decomposition method and some exact solutions: kink solution ,compacton solution, multi-compacton solution, and compacton-kink solution. Some new types of solutions are also generated by combining different kinds of solutions
Sine-Gordon Equation was originally introduced by Edmond Bour (1862) in the course of study of surfa...
In this paper, we solved the coupled sine-Gordon equation of fractional order. The fractional deriva...
A systematic method is presented to provide various equivalent solution formulas for exact solutions...
Abstract In this paper, Sumudu decomposition method is applied to solve various forms of linear and ...
Abstract. A new transformation method is developed using the general sine-Gordon travelling wave red...
Abstract. We use the Adomian decomposition method to study a nonlinear wave equation. The decomposit...
AbstractIn this paper, we introduce a new algorithm for applying the Adomian decomposition method to...
AbstractThe solution for a nonlinear differential equation considered in [1] is obtained more simply...
New transformations from the nonlinear sine-Gordon equation are shown in this Letter, based on them ...
The Adomian’s decomposition method is a powerful method which considers the approximate solution of ...
In this paper, the reduced differential transform method (RDTM) is successfully implemented for solv...
AbstractThe Sine-Gordon, Klein-Gordon, and Kortweg-De Vries (KdV) equations are similarly treated us...
AbstractIn this paper, we practiced relatively new, analytical method known as the variational homot...
In this paper, we practiced relatively new, analytical method known as the variational homotopy pert...
In this Letter, sine-Gordon-type equations, including single sine-Gordon equation, double sine-Gordo...
Sine-Gordon Equation was originally introduced by Edmond Bour (1862) in the course of study of surfa...
In this paper, we solved the coupled sine-Gordon equation of fractional order. The fractional deriva...
A systematic method is presented to provide various equivalent solution formulas for exact solutions...
Abstract In this paper, Sumudu decomposition method is applied to solve various forms of linear and ...
Abstract. A new transformation method is developed using the general sine-Gordon travelling wave red...
Abstract. We use the Adomian decomposition method to study a nonlinear wave equation. The decomposit...
AbstractIn this paper, we introduce a new algorithm for applying the Adomian decomposition method to...
AbstractThe solution for a nonlinear differential equation considered in [1] is obtained more simply...
New transformations from the nonlinear sine-Gordon equation are shown in this Letter, based on them ...
The Adomian’s decomposition method is a powerful method which considers the approximate solution of ...
In this paper, the reduced differential transform method (RDTM) is successfully implemented for solv...
AbstractThe Sine-Gordon, Klein-Gordon, and Kortweg-De Vries (KdV) equations are similarly treated us...
AbstractIn this paper, we practiced relatively new, analytical method known as the variational homot...
In this paper, we practiced relatively new, analytical method known as the variational homotopy pert...
In this Letter, sine-Gordon-type equations, including single sine-Gordon equation, double sine-Gordo...
Sine-Gordon Equation was originally introduced by Edmond Bour (1862) in the course of study of surfa...
In this paper, we solved the coupled sine-Gordon equation of fractional order. The fractional deriva...
A systematic method is presented to provide various equivalent solution formulas for exact solutions...