62 citations · 167 across the 32 of their papers we have counts for
4 papers · 1 filter
Static solitons, Lorentz invariance, and a new perspective on the integrability of the Sine Gordon equation in (1+2) dimensions
Yair Zarmi
Contrary to the common understanding, the Sine-Gordon equation in (1+2) dimensions does have N-soliton solutions for any N. The Hirota algorithm allows for the construction of stat…
Spatially extended particles hidden in line-soliton dynamics in more than one space dimension
Yair Zarmi
A dynamics of spatially extended particles, hidden in the dynamics of line solitons in more than one space dimension, is revealed through conservation laws obeyed by the single-sol…
Spatially extended relativistic particles associated with multi-soliton solutions of the Sine-Gordon equation in more than one space dimension
Yair Zarmi
Contrary to the decades-old understanding, SGn, the Sine-Gordon equation in (1+n) dimensions, has N-soliton solutions for any N >= 1, not only for n = 1, but also for n = 2 and 3.…
A nonlinear quantum dynamical system of spin 1/2 particles based on the classical Sine-Gordon Equation
Yair Zarmi
The Hirota transformation for the soliton solutions of the classical Sine-Gordon equation is suggestive of an extremely simple way for the construction of a nonlinear quantum-dynam…