Interactions of dromion-like structures in the (1+1)(1+1) dimension variable coefficient nonlinear Schrödinger equation

Interactions of dromion-like structures in the (1+1)(1+1) dimension variable coefficient nonlinear Schrödinger equation are studied for the first time. Analytic solutions for this equation are obtained, and physical parameters for this equation are assumed to be the Gaussian and hyperbolic functions, respectively. With a suitable choice of the parameters in the solutions, two and four dromion-like structures are presented, and interactions between them are discussed. Influences of corresponding parameters are analyzed. Results in this paper may have the applications in nonlinear optics and plasma physics.