Normalized solutions (nonlinear Schrödinger equation)

In mathematics, a normalized solution to an ordinary or partial differential equation is a solution with prescribed norm, that is, a solution which satisfies a condition like ∫ R N | u ( x ) | 2 d x = 1. {\displaystyle \int _{\mathbb {R} ^{N}}|u(x)|^{2}\,dx=1.} In this article, the normalized solution is introduced by using the nonlinear Schrödinger equation.