Ernst equation

In mathematics, the Ernst equation

The Ernst equation

The equation reads:

$${\displaystyle \Re (u)(u_{rr}+u_{r}/r+u_{zz})=(u_{r})^{2}+(u_{z})^{2}.}$$

For its Lax pair and other features see e.g. ^[3][4] and references therein.

Usage

The Ernst equation is employed in order to produce the exact solutions of the

References

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