Then the new step function space is introduced and stability problem for the finite difference scheme is discussed by means of variational approximation method.

然后引入新的步长函数空间，并在这个空间上，采用变分近似法讨论该格式的稳定性问题。

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By means of the variational approximation and direct simulations we demonstrate the one-soliton state trapped in a channel has no existence threshold and is always stable.

通过数值方法直接求解非线性薛定格方程以及变分法近似求出了束缚于一个“凹槽”中的单个空间光孤子解，这种光孤子的存在没有阈值范围，且总是稳定传输的。

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Then the new function space is introduced and the stability problem for the finite difference scheme is discussed by means of variational approximation method in this function space.

然后引入新的函数空间，并在这个空间上，采用变分近似法讨论了该格式的稳定性问题。

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