The nonlinear and nonlocal integrable sine-gordon equation

Abstract

A new type of the nonlocal sine-Gordon equation with the generalized interaction term is suggested. Its limit cases, symmetries and exact analytical so- lutions are obtained. This type of the nonlocal sine-Gordon equation is shown to possess one-, two- and N-solitonic solutions which are a nonlocal deformation of the corresponding classical solutions of the sine-Gordon equation.