Generation of Solitary Waves with Analytical Solution for The (3+1)dimensional pKP-BKP Equation and Reductions

Abstract

In this study, new solitary wave solutions are obtained for the combination of the Btype Kadomtsev-Petviashvili (BKP) equation and the potential KadomtsevPetviashvili (pKP) equation, called the integrable (3+1)-dimensional pKP-BKP equation, and its two reduced forms. For this purpose, the Bernoulli auxiliary equation method, which is an ansatz-based method, is used. As a result, kink, lump, bright soliton and breather wave solutions are observed. It is concluded that this method and the results obtained for the considered pKP -BKP equations are an important step for further studies in this field.