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

• Authors: Haci Mehmet Baskonus , Hasan Bulut
• Languages of publication: EN

Abstracts

EN

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. The proposed analytical schema, which is newly submitted
to the literature, has been expressed comprehensively
in this paper. The analytical solutions, application results,
and comparisons are presented by plotting the two
and three dimensional surfaces of analytical solutions obtained
by using the methods proposed for some important
nonlinear physical problems. Finally, a conclusion
has been presented by mentioning the important discoveries
in this study.

Keywords

EN

improved Bernoulli sub-equation functionmethod; Nonlinear Schrodinger Equation (NSE); (1+1)-dimensional nonlinear Dispersive Modified Benjamin-Bona-Mahony equation (NDMBBME); (2+1)-dimensionalnonlinear cubic Klein-Gordon equation (cKGE); exponentialfunction solution; hyperbolic function solution; complextrigonometric function solution

Discipline

• 02.90.+p: Other topics in mathematical methods in physics (restricted to new topics in section 02)

• Publisher: De Gruyter Open
• Journal: Open Physics
• Year: 2015
• Volume: 13
• Issue: 1

Dates

accepted

12 - 8 - 2015

received

25 - 5 - 2015

online

8 - 10 - 2015

Contributors

author

Haci Mehmet Baskonus

• Department of
  Computer Engineering, Tunceli University, Tunceli, Turkey

author

Hasan Bulut

• Department of Mathematics, University of Firat,
  Elazig, Turkey

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Identifiers

DOI

10.1515/phys-2015-0035