Type: Article

Asymptotics of odd solutions of quadratic nonlinear Schrödinger equations

Nakao Hayashi; Pavel I. Naumkin;

Abstract:

We consider the Cauchy problem for a quadratic nonlinear Schrodinger equation in the case of odd initial data from H(2) boolean AND H(0,2). We prove the global existence in time of solutions to the Cauchy problem and construct the modified asymptotics for large values of time.