We consider the Cauchy problem for a quadratic nonlinear Schrödinger equation in the case of odd initial data from H2 ∩ H0, 2. We prove the global existence in time of solutions to the Cauchy problem and construct the modified asymptotics for large values of time.
- Asymptotics of solutions
- Nonlinear Schrödinger equations
ASJC Scopus subject areas
- Applied Mathematics