Results 1  10
of
532,041
THE SPECTRUM OF TRAVELLING WAVE SOLUTIONS TO THE SINEGORDON EQUATION
"... Abstract. We investigate the spectrum of the linear operator coming from the sineGordon equation linearized about a travelling kinkwave solution. Using various geometric techniques as well as some elementary methods from ODE theory, we find that the point spectrum of such an operator is purely ima ..."
Abstract

Cited by 2 (1 self)
 Add to MetaCart
Abstract. We investigate the spectrum of the linear operator coming from the sineGordon equation linearized about a travelling kinkwave solution. Using various geometric techniques as well as some elementary methods from ODE theory, we find that the point spectrum of such an operator is purely
The SineGordon equation
, 2001
"... The evolution lump and ring solutions of a SineGordon equation in twospace dimensions is considered. Approximate equations governing this evolution are derived using a pulse or ring with variable parameters in an averaged Lagrangian for the SineGordon equation. It was found by Neu [Physica D 43 ( ..."
Abstract
 Add to MetaCart
The evolution lump and ring solutions of a SineGordon equation in twospace dimensions is considered. Approximate equations governing this evolution are derived using a pulse or ring with variable parameters in an averaged Lagrangian for the SineGordon equation. It was found by Neu [Physica D 43
sineGordon maps
, 2007
"... We present closedform expressions for approximately N integrals of 2Ndimensional maps. The maps are obtained by travelling wave reductions of the modified Kortewegâ€“de Vries equation and of the sineGordon equation, respectively. We provide the integrating factors corresponding to the integrals. Mo ..."
Abstract
 Add to MetaCart
We present closedform expressions for approximately N integrals of 2Ndimensional maps. The maps are obtained by travelling wave reductions of the modified Kortewegâ€“de Vries equation and of the sineGordon equation, respectively. We provide the integrating factors corresponding to the integrals
Travelling wave solutions for the discrete sineGordon
"... equation with nonlinear pair interaction ..."
Travelling waves in a singularly perturbed sineGordon equation
"... We determine the linearised stability of travelling front solutions of a perturbed sineGordon equation. This equation models the long Josephson junction using the RCSJ model for currents across the junction and includes surface resistance for currents along the junction. The travelling waves corr ..."
Abstract

Cited by 9 (4 self)
 Add to MetaCart
We determine the linearised stability of travelling front solutions of a perturbed sineGordon equation. This equation models the long Josephson junction using the RCSJ model for currents across the junction and includes surface resistance for currents along the junction. The travelling waves
Numerical Solutions to the SineGordon Equation
"... The sineGordon equation is a nonlinear partial differential equation. It is known that the sineGordon has soliton solutions in the 1D and 2D cases, but such solutions are not known to exist in the 3D case. Several numerical solutions to the 1D, 2D, and 3D sineGordon equation are presented and co ..."
Abstract
 Add to MetaCart
The sineGordon equation is a nonlinear partial differential equation. It is known that the sineGordon has soliton solutions in the 1D and 2D cases, but such solutions are not known to exist in the 3D case. Several numerical solutions to the 1D, 2D, and 3D sineGordon equation are presented
Results 1  10
of
532,041