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

Khadijo Rashid Adem; Chaudry Masood Khalique

doi:10.1155/2013/791863

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 journal › Article › peer-review

16 Citations (Scopus)

Abstract

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 language	English
Article number	791863
Journal	Abstract and Applied Analysis
Volume	2013
DOIs	https://doi.org/10.1155/2013/791863
Publication status	Published - 2013
Externally published	Yes

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abstract = "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.",

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N2 - 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.

AB - 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.

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DO - 10.1155/2013/791863

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JO - Abstract and Applied Analysis

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

Abstract

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