Abstract: In this paper,through the study of the influences of the basic current tangential variations on the translatory wave solutions of non linear equations in the two dimensional non divegent quasi momentum,nonhomogeneous density and frictionless atmosphere,it is proved that (a)in the symmetrical stable atmosphere (q=N²F²-S⁴>0 ),the non linear translatory wave solution is periodic,and its period is equal to that of the corresponding linear periodic solution;and (b)in the symmetrical unstable atmosphere (q=N²F²-S⁴≤0 ),there are two kinds of non linear translatory ware solution and their properties are determined by the parameter B,B=(N²sin²φ-2S²sin φcosφ+F²cos²φ)/σ².Where (1) when B>0 ,the solution are periodic,and the period is equal to that of the corresponding linear periodic solution;and (2)when B≤0 ,the solutions are solitary wave.