Abstract

The interaction solutions have attracted the attention of many scholars because of they are valuable in analyzing the nonlinear dynamics of waves in shallow water and can be used for forecasting the appearance of rogue waves. In this paper, we investigate the interaction and rational solutions of a (3+1)-dimensional generalized breaking soliton equation by employing the Hirota bilinear and parameter limit methods along with symbolic computations. By studying the Hirota bilinear form of the equation, abundant interaction and rational solutions are derived by choosing appropriate parameters of the test function. The evolutionary behavior of the interaction solutions is also analyzed theoretically and graphically. Compare with the published literatures, we get some completely new results of the equation in this paper.

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