 Home

Codex Wiki

Physics

Branch of physics

Integrable systems

{c}

The focusing and defocusing equations
$$
i\psi_t+\psi_{xx}\mathbin{\pm}2|\psi|^2\psi=0
$$
have Hamiltonians
$$
H_\pm=\int_{\mathbb R}\left(|\psi_x|^2\mp|\psi|^4\right)dx
$$
under the convention $i\psi_t=\delta H_\pm/\delta\overline\psi$.


Hamiltonian form of the cubic nonlinear Schrodinger equations

Past exam of the mathematics course of the University of Cambridge / 2023 / ii / Paper 1 / 33E / Solution

Hamiltonian form of the cubic nonlinear Schrodinger equations

 Ancestors (4)

 Incoming links (1)

 Discussion (0)

 Articles by others on the same topic (0)

Hamiltonian form of the cubic nonlinear Schrodinger equations

 Ancestors (4)

 Incoming links (1)

 Discussion (0)  Subscribe (1)

 Articles by others on the same topic (0)

 Discussion (0)