Localized excitations with periodic and chaotic behaviors in (1+1)-dimensional Korteweg–de Vries type system

Starting from a special variable transformation and an extended mapping approach, the (1 + 1)-dimensional Korteweg–de Vries (KdV) type model related to nonlinear Schrödinger system is solved, and families of variable separation solutions with arbitrary functions are derived. Then based on the derived exact solution, we reveal some periodic loop solitons and chaotic solitons for the (1 + 1)-dimensional KdV type model.