Article citationsMore>>

C. S. Liu, “Solution of ODE u'' + p(u)(u')2 + q(u) = 0 and Applications to Classifications of All Single Travelling Wave Solutions to Some Nonlinear Mathematical Physics Equations,” Communications in Theoretical Physics, Vol. 49, No. 2, 2008, pp. 291-296.
http://dx.doi.org/10.1088/0253-6102/49/2/07

has been cited by the following article:

• 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.