Abundant rational solutions and conservation laws of the generalized BKP-Boussincsq equation and its dimensionality reduced equations

الملخص EN

By virtue of a variable transformation and a quadratic function approach, we generate rational analytical solutions to the (3+1 )-dimensional gBKP-Boussincsq equation and lump solutions to its three types of dimensionally reduced equations.

In addition, we derive quite a few conservation laws for those equations by employing the first homotopy method.