Hamiltonian Reduction of Non-Linear Waves

TL;DR

This paper compares two Hamiltonian reduction methods, Faddeev-Jackiw and symplectic formalism, applied to the analysis of non-linear waves, highlighting their differences in constrained dynamics.

Contribution

It introduces a comparative analysis of Hamiltonian reduction techniques for non-linear wave dynamics, emphasizing the Faddeev-Jackiw approach.

Findings

Faddeev-Jackiw method effectively reduces constrained systems.

Comparison reveals differences in handling non-linear wave constraints.

Insights into the advantages of each formalism for non-linear wave analysis.

Abstract

The Faddeev-Jackiw Hamiltonian Reduction approach to constrained dynamics is applied to the collective coordinates analysis of non-linear waves, and compared with the alternative procedure known as symplectic formalism.