Analysis of the sine-Gordon equation with a nonlinear $\delta$-potential

Sergio Moroni, Ramón G. Plaza

This paper is devoted to the analysis of the following nonlinear wave equation \[ u_{tt} - u_{xx} + (1 + qδ_0(x)) \sin u = 0, \] where ${\delta }_0={\delta }_0(x)$ is the Dirac delta function ce…