• Home
  • About
  • Contact

Coffee and PI

~ Mathematics. Machine Learning. Data Science.

Coffee and PI

Tag Archives: Partial Differential Equations

Lax Pair and the Nonlinear Schrödinger (NLS) Equation (Part 2)

30 Friday Dec 2016

Posted by Lucija Gregov in Mathematical Physics, Solitons

≈ Leave a comment

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

Continue reading →

Categories

  • Artificial Intelligence (1)
  • Computational Geometry (1)
  • Data Science (1)
  • Finance (1)
  • GenerativeAI (1)
  • Machine Learning (7)
  • Mathematical Physics (3)
  • Nonlinear systems (2)
  • Python (4)
  • Solitons (3)
  • Topological Data Analysis (1)

Blog at WordPress.com.

  • Subscribe Subscribed
    • Coffee and PI
    • Already have a WordPress.com account? Log in now.
    • Coffee and PI
    • Subscribe Subscribed
    • Sign up
    • Log in
    • Report this content
    • View site in Reader
    • Manage subscriptions
    • Collapse this bar