Exact solutions and conservation laws of a (2+1)-dimensional nonlinear KP-BBM equation

Khadijo Rashid Adem, Chaudry Masood Khalique*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

16 Citations (Scopus)


In this paper, we study the two-dimensional nonlinear Kadomtsov- Petviashivilli-Benjamin-Bona-Mahony (KP-BBM) equation. This equation is the Benjamin-Bona-Mahony equation formulated in the KP sense. We first obtain exact solutions of this equation using the Lie group analysis and the simplest equation method. The solutions obtained are solitary waves. In addition, the conservation laws for the KP-BBM equation are constructed by using the multiplier method.

Original languageEnglish
Article number791863
JournalAbstract and Applied Analysis
Publication statusPublished - 2013
Externally publishedYes


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