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.