TITLE:
Trial Equation Method for Solving the Improved Boussinesq Equation
AUTHORS:
Yang Li
KEYWORDS:
The Nonlinear Partial Differential Equation; Complete Discrimination System for Polynomial; Trial Equation Method; Traveling Wave Transform; The Improved Boussinesq Equation
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.4 No.2,
February
28,
2014
ABSTRACT: Trial equation method is a powerful tool for obtaining exact
solutions of nonlinear differential equations. In this paper, the
improved Boussinesq is reduced to an ordinary differential equation under the
travelling wave transformation. Trial equation method and the theory of
complete discrimination system for polynomial are used to establish exact
solutions of the improved Boussinesq equation.