We study the stability of standing-waves solutions to a scalar non-linear Klein–Gordon equation in dimension one with a quadratic-cubic non-linearity. Orbits are obtained by applying the semigroup generated by the negative complex unit multiplication on a critical point of the energy constrained to the charge.

中文翻译：

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一维二次-三次克莱因-戈登方程驻波解的稳定性和不稳定性

我们研究了具有二次三次非线性的一维标量非线性 Klein-Gordon 方程的驻波解的稳定性。轨道是通过将负复数单位乘法生成的半群应用于约束电荷的能量的临界点而获得的。