Schrödinger Equation with Cubic-Quintic Nonlinearity

Nonlinear Schrödinger equations are of great importance in applications such as nonlinear optics and Bose-Einstein condensates. Explicit and stable numerical scheme for nonlinear Schrödinger equation is implemented in OpenFOAM. The cubic-quintic nonlinearity is know to produce physically stable soliton solutions as this spinning solition despite the presence of noise.