In this paper, the linear superposition principle and Hirota bilinear equations are
simultaneously employed to handle two new (3+1)-dimensional Jimbo-Miwa
equations. The corresponding resonant multi-soliton solutions and the related wave
numbers are formally established, which are totally different from the previously
reported ones. Moreover, the extracted N-soliton waves and dispersion relations have
distinct physical structures compared to solutions obtained by Wazwaz. Finally, five
graphical representations are portrayed by taking definite values to free parameters
which demonstrates various versions of travelling solitary waves. The results show
the proposed approach provides enough freedom to construct multi-soliton waves that
may be related to a large variety of real physical phenomena, and moreover, enriches
the solution structure.