Physics

Quartic function

Nonlinear system

Dispersion (optics)

Pure mathematics

Geometry

Symmetry (geometry)

Mathematics

Mathematical physics

Quantum mechanics

Classical mechanics

Nonlinear Schrödinger equation

Soliton

Optik

This paper carries out Lie symmetry analysis of the cubic–quartic nonlinear Schrödinger's equation that models soliton dynamics whenever group velocity dispersion is negligibly small. The results are presented for Kerr and power laws of nonlinearity.

Lie symmetry analysis for cubic–quartic nonlinear Schrödinger's equation