Large time asymptotics for the higher-order nonlinear nonlocal Schrodinger equation

We consider the Cauchy problem for the higher-order nonlinear nonlocal Schrodinger equation in one space dimension {i partial derivative(t)u - Lambda u = lambda vertical bar u vertical bar(3) u, t > 0, x is an element of R, u (0, x) = u(0)(x) , x is an element of R, where lambda > 0, and the linear operator Lambda u = Sigma(5)(j=3) 1/j vertical bar partial derivative(x)vertical bar(j) u. Our purpose in this paper is to prove the large time asymptotic behaviour of solutions for the defocusing case lambda > 0 with a logarithmic correction under the nonzero mass condition integral(R) u(0) (x) d(x) not equal 0. (C) 2020 Elsevier Ltd. All rights reserved.