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Soliton molecules have been experimentally discovered in optics andtheoretically investigated for coupled systems. This paper is concerned withthe formation of soliton molecules by the resonant mechanism for a noncoupledsystem, the Sharma-Tasso-Olver-Burgers (STOB) equation. In terms of introducingvelocity resonance conditions, we derive the soliton (kink) molecules, halfperiodic kink (HPK) molecules and breathing soliton molecule of STOB equation.Meanwhile, the fission and fusion phenomena among kinks, kink molecules, HPKsand HPK molecules have been revealed. Moreover, we also discuss the centralperiodic kink solutions from the multiple solitary wave solutions.

Soliton molecules in Sharma-Tasso-Olver-Burgers equation