Novel superposed kinklike and pulselike solutions for several nonlocal nonlinear equations

We show that a number of nonlocal nonlinear equations, including the Ablowitz–Musslimani and Yang variant Schrödinger (NLS) equation, modified Korteweg de Vries (mKdV) Hirota admit novel kinklike pulselike superposed periodic solutions. Furthermore, we mKdV equation also admits (hyperbolic) kink–antikink solution. In addition, while NLS complex parity-time reversal-invariant kink pulse solutions, neither local nor such Finally, except for NLS, other three equations both solutions in same model.