A New Approach of Bernoulli Sub-ODE Method to Solve Nonlinear PDEs

Md. Abdus Salam, Md. Shafiqul Islam, Md. Hamidul Islam, Md. Abdul Aziz


In this paper, a new approach of the Bernoulli Sub-ODE method is proposed and this method is applied to solve the modified Liouville equation and the regularized long wave equation. As a result some new traveling wave solutions for them are successfully established. When the parameters are taken as special values, the solitary wave solutions are originated from these traveling wave solutions. Further, graphical representation of some solutions are given to visualize the dynamics of the equation. The results reveal that this method may be useful for solving higher order nonlinear partial differential equations.


Modified Liouville equation; regularized long wave equation; traveling wave solutions.

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