Add to ORKGSine-Gordon Equation was originally introduced by Edmond Bour (1862) in the course of study of surfaces. This equation attracted a lot of attention in the 1970s due to the presence of soliton solutions. In this presentation, Gordon type nonlinear equations are deducted from the well-known Lax Equations using the AKNS (Ablowitz, Kaup, Newell, Segur) method. Further, solutions of these equations are provided with wave visualization using Mathematica.</p
Nonlinear evolution equations play enormous significant roles to work with complicated physical phen...
An approach for obtaining a new Lax pair from a given old Lax pair is proposed, and two hierarchies ...
The sine-Gordon model is a ubiquitous model of Mathematical Physics with a wide range of application...
The sine-Gordon (SG) equation φtt − φxx = − sinφ (1) has many applications: I it appeared in 19th c...
26. Sine{Gordon equation In view of the remarkable properties of the KdV equation (! ref), it is nat...
It is well-known that solitary waves on shallow water can be modeled by nonlinear KdV and nonlinear ...
From the nonlinear sine-Gordon equation, new transformations are obtained in this paper, which are a...
New transformations from the nonlinear sine-Gordon equation are shown in this Letter, based on them ...
Abstract. A new transformation method is developed using the general sine-Gordon travelling wave red...
Explore three nonlinear wave equations, starting from simple initial conditions. The ordinary wave e...
By using AKNS [Phys. Rev. Lett. 31 (1973) 125] system and introducing the wave function, a family of...
Different wave solutions assist to interpret phenomena in different aspects of optics, physics, plas...
From the definition of Legendre elliptic integration and Jacobi elliptic function, new transformatio...
Abstract: In this paper, a type of fully nonlinear Sine-Gordon equations and the approximate Sine-Go...
Using a mathematical approach accessible to graduate students of physics and engineering, we show ho...
Nonlinear evolution equations play enormous significant roles to work with complicated physical phen...
An approach for obtaining a new Lax pair from a given old Lax pair is proposed, and two hierarchies ...
The sine-Gordon model is a ubiquitous model of Mathematical Physics with a wide range of application...
The sine-Gordon (SG) equation φtt − φxx = − sinφ (1) has many applications: I it appeared in 19th c...
26. Sine{Gordon equation In view of the remarkable properties of the KdV equation (! ref), it is nat...
It is well-known that solitary waves on shallow water can be modeled by nonlinear KdV and nonlinear ...
From the nonlinear sine-Gordon equation, new transformations are obtained in this paper, which are a...
New transformations from the nonlinear sine-Gordon equation are shown in this Letter, based on them ...
Abstract. A new transformation method is developed using the general sine-Gordon travelling wave red...
Explore three nonlinear wave equations, starting from simple initial conditions. The ordinary wave e...
By using AKNS [Phys. Rev. Lett. 31 (1973) 125] system and introducing the wave function, a family of...
Different wave solutions assist to interpret phenomena in different aspects of optics, physics, plas...
From the definition of Legendre elliptic integration and Jacobi elliptic function, new transformatio...
Abstract: In this paper, a type of fully nonlinear Sine-Gordon equations and the approximate Sine-Go...
Using a mathematical approach accessible to graduate students of physics and engineering, we show ho...
Nonlinear evolution equations play enormous significant roles to work with complicated physical phen...
An approach for obtaining a new Lax pair from a given old Lax pair is proposed, and two hierarchies ...
The sine-Gordon model is a ubiquitous model of Mathematical Physics with a wide range of application...