Starting from the dynamical plasma equations with the help of relaxed Zakharov simplification assumptions, and through taking use of the time‐averaged two‐time‐scale two‐fluid plasma description, the Zakharov equations (ZE) are generalized to contain the self‐generated magnetic field. The generalized Zakharov equations (GZE) are a set of three coupled equations and of seventh‐order nonlinearity with an amplification factor in almost all nonlinear terms of GZE. The conclusion that electron nonlinearities other than those appearing in ZE are not important and that the ion nonlinearities may be important when Langmuir turbulence level is fairly high, which was obtained through using both particle‐in‐cell (PIC) simulations and numerically integrating ZE by Newmanetal. [Phys. Fluids B2, 2600 (1990)] and Clarketal. [Phys. Fluids B4, 708 (1992)], is demonstrated by the theoretical analysis given in this paper.