Tags
Complex systems, Hilbert space, Lax pair, Nonlinear Schrödinger Equation, Nonlinear systems, Partial Differential Equations, Pauli matrices, Solitons
Operator L has continuous and discrete spectrum in general so we can separate solutions into two groups:
- Solutions parametrized by data on the continuous spectrum only
- Solutions parametrized by the data on the discrete spectrum, which are known as soliton solutions