TITLE:
Application of Trial Equation Method for Solving the Benjamin Ono Equation
AUTHORS:
Yang Li
KEYWORDS:
The Nonlinear Partial Differential Equation; Complete Discrimination System for Polynomial; Trial Equation Method; Traveling Wave Transform; The Benjamin Ono Equation
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.2 No.3,
February
25,
2014
ABSTRACT:
In the article, the nonlinear equation is reduced to an
ordinary differential equation under the travelling wave transformation. Using trial equation method, the ODE is reduced to the elementary integral
form. In the end, complete discrimination system for polynomial
is used to solve the corresponding integrals and obtain the classification of
all single travelling wave solutions to the equation.