Abstract
We investigate the rational solitons of the nonlinear (3+1)-dimensional Geng (NG)-equation via symbolic computation with ansatz functions technique and the logarithmic transformation. The (3+1) NG-equation uses in shallow water wave dynamics. Multiwave solitons are reported by using three-waves technique. Homocentric breathers (HBs) approach is also applied to built new forms of exact solutions. Furthermore periodic cross rational solitons (PCRS) and kink cross rational solitons (KCRS) are examined through suitable transformations. We construct M-shape solitons and their dynamics are shown via the appropriate values of parameters. Additionally, two types of interactions for rational soliton with kink wave are investigated.
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