  We study integrability properties of the non-chiral intermediate long wave
equation recently introduced by the authors as a parity-invariant variant of
the intermediate long wave equation. For this new equation we: (a) derive a Lax
pair, (b) derive a Hirota bilinear form, (c) derive a B\"{a}cklund
transformation, (d) use, separately, the B\"{a}cklund transformation and the
Lax representation to obtain an infinite number of conservation laws.
