New exact periodic solitary-wave solutions for the (3+1)-dimensional generalized KP and BKP equations. (November 2015)

• Record Type: Journal Article
• Authors: Tang, Yaning; Zai, Weijian
• Is Part Of: Computers & mathematics with applications. Volume 70:issue 10(2015)
• Page Start: 2432
• Page End: 2441
• Publication Date: 2015-11
• Subjects: Extended homoclinic test approach -- Bilinear method -- Generalized KP equation -- Generalized BKP equation -- Periodic solitary-wave solutions; Electronic data processing -- Periodicals; Mathematics -- Data processing -- Periodicals; 510.28541
• DOI: 10.1016/j.camwa.2015.09.017
• Languages: English
• ISSNs: 0898-1221

Abstract

Abstract: The extended homoclinic test approach (EHTA) is a straightforward and efficient method to solve nonlinear partial differential equations. In this paper, new exact solutions including kinky periodic solitary-wave solutions, periodic soliton solutions and periodic kink solutions for the ( 3 + 1 ) -dimensional generalized Kadomtsev–Petviashvili (KP) and B-type Kadomtsev–Petviashvili (BKP) equations are obtained. Moreover, the strangely mechanical features of these wave solutions are investigated. These solutions enrich the variety of the dynamics of higher-dimensional nonlinear wave field.