Variational Principles, Lie Point Symmetries, and Similarity Solutions of the Vector Maxwell Equations in Non-linear Optics

Mathematics

• Nonlinear Optics 74%
• Lie Point Symmetries 71%
• Similarity Solution 64%
• Maxwell's equations 56%
• Variational Principle 51%
• Electric Field 30%
• Traveling Wave 17%
• Femtosecond Pulses 17%
• Periodic Travelling Wave Solution 12%
• Symmetry 12%
• Wave Interaction 12%
• Nonlinear Interaction 12%
• Hamiltonian Formulation 12%
• Multiple Roots 11%
• Noether's theorem 11%
• Length Scale 11%
• Nonlinear Waves 10%
• Kink 10%
• Lie Symmetry 10%
• Real Roots 10%
• Diverge 9%
• Instantaneous 9%
• Breakdown 9%
• Polynomial equation 9%
• Symmetry Group 9%
• Approximation 9%
• Traveling Wave Solutions 8%
• Momentum 8%
• Time Scales 8%
• Propagation 8%
• Siméon Denis Poisson 7%
• Ordinary differential equation 6%
• Gradient 6%
• Nonlinearity 6%
• Energy 5%

Physics & Astronomy

• nonlinear optics 60%
• variational principles 60%
• Maxwell equation 52%
• symmetry 31%
• traveling waves 30%
• electric fields 13%
• carrier waves 10%
• wave interaction 8%
• approximation 8%
• sidebands 7%
• polynomials 6%
• theorems 6%
• differential equations 6%
• breakdown 5%
• nonlinearity 5%
• oscillators 5%
• electromagnetism 5%
• momentum 5%
• formulations 5%
• gradients 5%

Engineering & Materials Science

• Nonlinear optics 100%
• Maxwell equations 67%
• Electric fields 18%
• Hamiltonians 15%
• Ordinary differential equations 7%
• Momentum 6%
• Polynomials 5%