Linked from
The 14 pages that link to Plane wave, each with the reason it gives.
WavefrontBroader topic: It is the simplest wavefront geometry.
Dispersion relationRelated: Plane-wave solutions make frequency and wave number explicit.
Momentum operatorRelated: Plane waves are eigenfunctions of the free-particle momentum operator.
Wave vectorBroader topic: For a plane wave, the wave vector is normal to the equal-phase planes.