Solutions to Integrable Space-Time Shifted Nonlocal Equations

In this paper we present a reduction technique based on bilinearization and double Wronskians (or Casoratians) to obtain explicit multi-soliton solutions for the integrable space-time shifted nonlocal equations introduced very recently by Ablowitz Musslimani in [1]. Examples include nonlinear Schrödinger modified Korteweg-de Vries hierarchies semi-discrete equation. It is shown that these with or without shift(s) share same distributions of eigenvalues but brings new constraints phase terms solutions.