- #1

- 179

- 1

[tex]

\begin{bmatrix}

\partial_x^2 + \mu + u(x) & u(x)^2 \\

\bar{u(x)}^2 & \partial_x^2 + \mu + u(x)

\end{bmatrix}

\begin{bmatrix}

a(x)\\

b(x)

\end{bmatrix}

=

\omega(x)

\begin{bmatrix}

a(x)\\

b(x)

\end{bmatrix}

[/tex]

where all x dependencies have been declared. I know the definition of the function [itex] u(x)[/itex], but I need to solve for the eigenfrequency and eigenvectors.