Integrable (2+1)-dimensional and (3+1)-dimensional breaking soliton equations

In this work, integrable (2+1)-dimensional and integrable (3+1)-dimensional breaking soliton equations are examined. The modified form of Hirota's bilinear method, established by Hereman, is applied to derive multiple soliton solutions and multiple singular soliton solutions for each model. The resonance phenomenon does not exist for the two models.