International Journal of Scientific Engineering and Technology

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Some New Exact Travelling Wave Solutions of the Cubic Nonlinear Schrodinger Equation using the (Exp(Φ(ξ)) )-Expansion Method


Affiliations
1 Department of Mathematics, Chittagong University of Engineering and Technology, Bangladesh
 

The nonlinear physical model such as the cubic nonlinear Schrodinger equation has been applied in many branches of physics. In this paper, the exp(Φ(ξ)) - expansion method is applied to evaluate new exact traveling wave solutions of the complex Schrodinger equation with cubic nonlinearity. Various solutions of the cubic nonlinear Schrodinger equation using this method provide us the firm mathematical foundation of soliton physics. Further, three-dimensional plots of the solutions are also given to visualize the dynamics of the equation.

Keywords

The Exp(-Φ(ξ))-Expansion Method, The Cubic Nonlinear Schrodinger Equation, Nonlinear Evolution Equations, Travelling Wave Solutions, Solitary Wave Solutions.
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  • Some New Exact Travelling Wave Solutions of the Cubic Nonlinear Schrodinger Equation using the (Exp(Φ(ξ)) )-Expansion Method

Abstract Views: 121  |  PDF Views: 0

Authors

M. Golam Hafez
Department of Mathematics, Chittagong University of Engineering and Technology, Bangladesh
M. A. Kauser
Department of Mathematics, Chittagong University of Engineering and Technology, Bangladesh
M. Tahmina Akter
Department of Mathematics, Chittagong University of Engineering and Technology, Bangladesh

Abstract


The nonlinear physical model such as the cubic nonlinear Schrodinger equation has been applied in many branches of physics. In this paper, the exp(Φ(ξ)) - expansion method is applied to evaluate new exact traveling wave solutions of the complex Schrodinger equation with cubic nonlinearity. Various solutions of the cubic nonlinear Schrodinger equation using this method provide us the firm mathematical foundation of soliton physics. Further, three-dimensional plots of the solutions are also given to visualize the dynamics of the equation.

Keywords


The Exp(-Φ(ξ))-Expansion Method, The Cubic Nonlinear Schrodinger Equation, Nonlinear Evolution Equations, Travelling Wave Solutions, Solitary Wave Solutions.