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

Authors : Fatma Nur Kaya Sağlam

Pages : 822-835

Doi:10.17798/bitlisfen.1494900

View : 46 | Download : 67

Publication Date : 2024-09-26

Article Type : Research Paper

Abstract :In this study, new solitary wave solutions are obtained for the combination of the B-type Kadomtsev-Petviashvili (BKP) equation and the potential Kadomtsev-Petviashvili (pKP) equation, called the integrable (3+1)-dimensional coupled 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.
Keywords : Solitary waves, Kadomtsev Petviashvili equation, Bernoulli auxilary equation method, B type Kadomtsev Petviashvili equation