An Effective Schema for Solving Some Nonlinear Partial Differential Equation Arising In Nonlinear Physics

• Main Authors: Baskonus Haci Mehmet, Bulut Hasan
• Format: Article
• Language: English
• Published: De Gruyter 2015-10-01
• Series: Open Physics
• Subjects: improved Bernoulli sub-equation function method; Nonlinear Schrodinger Equation (NSE); (1+1)- dimensional nonlinear Dispersive Modified Benjamin- Bona-Mahony equation (NDMBBME); (2+1)-dimensional nonlinear cubic Klein-Gordon equation (cKGE); exponential function solution; hyperbolic function solution; complex trigonometric function solution; 02.90.+p; 02.30.Jr; 02.60.Lj
• Online Access: http://www.degruyter.com/view/j/phys.2015.13.issue-1/phys-2015-0035/phys-2015-0035.xml?format=INT

In this paper, a new computational algorithm called the "Improved Bernoulli sub-equation function method" has been proposed. This algorithm is based on the Bernoulli Sub-ODE method. Firstly, the nonlinear evaluation equations used for representing various physical phenomena are converted into ordinary differential equations by using various wave transformations. In this way, nonlinearity is preserved and represent nonlinear physical problems. The nonlinearity of physical problems together with the derivations is seen as the secret key to solve the general structure of problems.