Mufid Abudiab

Exact solutions and conservation laws of a ( 3 + 1 )-dimensional B-type Kadomtsev-Petviashvili equation

In this paper we study a (3+1)-dimensional generalized B-type Kadomtsev-Petviashvili (BKP) equation. This equation is an extension of the well-known Kadomtsev-Petviashvili equation, which describes weakly dispersive and small amplitude waves propagating in quasi-two-dimensional media. We first obtain exact solutions of the BKP equation using the multiple-exp function and simplest equation methods. Furthermore, the conservation laws for the BKP equation are constructed by using the multiplier method.

A Study of an Extended Generalized (2+1)-dimensional Jaulent–Miodek Equation

Abstract This paper aims to study the extended generalized (2+1)-dimensional Jaulent–Miodek equation (egJM), which arises in a number of significant nonlinear problems of physics and applied mathematics. We derive conservation laws using Noether theorem and find travelling wave solution of the egJM equation.

Solutions and conservation laws for a Kaup-Boussinesq system

In this work we study a Kaup-Boussinesq system, which is used in the analysis of long waves in shallow water. Travelling wave solutions are obtained by using direct integration. Secondly, conservation laws are derived by using the multiplier method.

Recent Advances on Methods and Applications of Nonlinear Differential Equations

1 International Institute for Symmetry Analysis and Mathematical Modelling, Department of Mathematical Sciences, North-West University, Mafikeng Campus, Private Bag X2046, Mmabatho 2735, South Africa 2Department of Mathematics and Statistics, Texas A&M University-Corpus Christi, 6300 Ocean Drive, Corpus Christi, TX 78412, USA 3 Centre for Differential Equations, Continuum Mechanics and Applications, School of Computational and Applied Mathematics, University of the Witwatersrand, Johannesburg 2050, South Africa 4Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran 5 Department of Mathematics and Information Science, Neijiang Normal University, Neijiang 641112, China

Exact solutions and conservation laws of a ( 3 + 1 ) Open image in new window-dimensional B-type Kadomtsev-Petviashvili equation

In this paper we study a (3+1)-dimensional generalized B-type Kadomtsev-Petviashvili (BKP) equation. This equation is an extension of the well-known Kadomtsev-Petviashvili equation, which describes weakly dispersive and small amplitude waves propagating in quasi-two-dimensional media. We first obtain exact solutions of the BKP equation using the multiple-exp function and simplest equation methods. Furthermore, the conservation laws for the BKP equation are constructed by using the multiplier method.