On the generalized differential transform method

In this letter, generalized dierential transform (GDTM) method is used tosolve nonlinear dierential dierence equation for the rst time. Two models ofspecial interest in mathematical physics are chosen to illustrate the validity andthe great potential of the generalized dierential transform method.Comparisons are made between the results of the proposed method and exactsolutions. Applying the proposed method for two models, namely, Lotka-Volteranonlinear dierence equation and Relativistic Toda lattice dierence equations,and successfully obtain solitary wave solutions.We should point out that generalized dierential transform method is also easyto be applied to other nonlinear dierential dierence equation arising in physics.