Author/Authors :
Abdollahzadeh, M. babol noshirvani university of technology - Department of Mechanical Engineering, بابل, ايران , Ganji, D. D. babol noshirvani university of technology - Department of Mechanical Engineering, بابل, ايران , Davodi, A. G. babol noshirvani university of technology - Department of Mechanical Engineering, بابل, ايران , Davodi, A. G. shahrood university of technology - Department of Civil Engineering, شاهرود, ايران , Barzegar, M. babol noshirvani university of technology - Department of Mechanical Engineering, بابل, ايران , Barzegar, M. iran university of science and technology - Department of Mechanical Engineering, تهران, ايران
Abstract :
In this paper, we establish exact solutions for some nonlinear partial differential integral equations (PDIE). The ((G´)/(G))-expansion method was used to construct travelling wave solutions of the generalized (1+1) dimensional and the generalized (2+1) dimensional Ito equations. In this method we take the advantage of general solutions of second order linear ordinary differential equation (LODE) to solve effectively many nonlinear evolution equations. The ((G´)/(G))-expansion method presents a wider applicability for handling nonlinear wave equations.
Keywords :
The G´ , G , expansion method , Traveling wave solutions , the generalized (1+1) dimensional and the generalized (2+1) dimensional Ito equations
