The maximum sustainable amplitude, so-called wave breaking limit, of a nonlinear plasma wave in arbitrary mass ratio warm plasmas is obtained in the non-relativistic regime. Using the method of Sagdeev potential, a general wave breaking formula is derived by taking into account the dynamics of both the species having finite temperature. It is found that the maximum amplitude of the plasma wave decreases monotonically with the increase in temperature ${\beta }_{-}$ of the negative species (temperature ${\beta }_{+}$ of the positive species) and increases (decreases) with increase in mass ratio $\mu =m_{-}/m_{+}$ provided ${\beta }_{-}>{\beta }_{\mathit{cr}}$ , where ${\beta }_{\mathit{cr}}={\left[1-\left(1-{\beta }_{+}^{1/2}\right)/\sqrt{\mu }\right]}^2$.

中文翻译：

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任意质量比暖等离子体的波破极限

在非相对论体系中获得了任意质量比暖等离子体中非线性等离子体波的最大可持续振幅，即所谓的破波极限。使用Sagdeev势的方法，通过考虑具有有限温度的两种物质的动力学，推导出一般的破波公式。发现等离子体波的最大振幅随着温度的升高而单调减小${\beta }_{-}$负物种（温度${\beta }_{+}$阳性物种的数量）并随着质量比的增加而增加（减少）$\mu ={米}_{-}/{米}_{+}$假如${\beta }_{-}>{\beta }_{\mathit{铬}}$ ， 在哪里${\beta }_{\mathit{铬}}={\left[1-\left(1-{\beta }_{+}^{1/2}\right)/\sqrt{\mu }\right]}^2$.