Chord progression is : || Dmaj7 | Amaj7 | Dmaj7 | E9 E7b9 ||
You can use:
Dmaj7 ----- D lydian, Bm & F#m pentatonic, Bm & F#m blues,
Dmaj7 & Bm7 & F#m7 arpeggios,
D & E triad.
Amaj7 ----- A ionian, F#m & C#m pentatonic, F#m & C#m blues,
Amaj7 & F#m7 & C#m7 arpeggios,
D & E triad.
E9 & E7b9 ----- E mixolydian, E half-whole diminished,
Bm pentatonic, Bm blues,
G#m7b5 & Bm7 & Fdim7 arpeggios.