采用修正渐近法研究了在力学中应用范围比较广泛的一类具有变系数二阶线性齐次方程，并求得了其修正渐进解。
A class of second orders homogeneous equations with varied coefficient widely applied in mechanics were studied using the amended asymptotic method, and the amended asymptotic solution was derived.
更多。同时在求解过程中略去了将齐次方程分块和双线性化的过程，这样就避免了不适当的分块可能产生的对于模型孤子解的结构的限制。
This extended procedure skips the process of equation splitting and bilinearization so as to avoid the possibility of introducing additional limitation on the structure of the soliton solutions.
首先将非线性薛定谔方程变形为齐次方程的形式，然后用精细积分法模拟其随时间的演化过程。
First of all, a non-linear Schrodinger equation can be converted into homogeneous equations, and then the precise integration method can be used to solve these problems.
利用两流体模型、小扰动原理和线性一阶齐次方程组有解的条件，得到了气液泡状流型下的压力波色散方程。
Using two-flow model, small perturbation theory and solvable conditions of one-order linear equations, a dispersion equation of pressure wave in horizontal air-liquid bubbly flow was proposed.
利用两流体模型、小扰动原理和线性一阶齐次方程组有解的条件，得到了气液泡状流型下的压力波色散方程。
Using two-flow model, small perturbation theory and solvable conditions of one-order linear equations, a dispersion equation of pressure wave in horizontal air-liquid bubbly flow was proposed.
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