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We consider the non-abelian self-dual two-form theory arXiv:1203.4224 andfind new exact solutions. Our solutions are supported by Yang-Mills(anti)instantons in 4-dimensions and describe wave moving in null directions.We argue and provide evidence that these instanton string solutions correspondto M-wave (MW) on the worldvolume of multiple M5-branes. When dimensionallyreduced on a circle, the MW/M5 system is reduced to the D0/D4 system with theD0-branes represented by the Yang-Mills instanton of the D4-branes Yang-Millsgauge theory. We show that this picture is precisely reproduced by thedimensional reduction of our instanton string solutions.

Instanton String and M-Wave in Multiple M5-Branes System