| 1. | Firstly , fkdv equation for the nonlinear surface wave was obtained by perturbation technique from potential flow theory
首先，从势流理论出发，利用摄动法，导出了非线性表面波遵循的fkdv方程。 |
| 2. | The direct perturbation technique , proposed recently , successfully deals with a kind of perturbed chaotic system and obtains their formal solutions for each order
最近发现，通过直接微扰法可以得到一类微扰作用下的混沌系统的形式解。 |
| 3. | The direct perturbation technique , proposed recently , successfully deals with a kind of perturbed chaotic systems and obtains their general solutions for each order
最近发现，通过直接微扰法可以得到一类微扰作用下的混沌系统的形式解。 |
| 4. | Under certain appropriate assumptions , a mathematical model of water undergoing solidification in the spherical enclosure is established . the perturbation technique is employed to solve this problem
用奇异摄动法对冰球的凝固进行了近似分析求解，得到了第三类边界条件下凝固解的表达式。 |
| 5. | In this paper , by using reductive perturbation technique , we studied the solitary waves in nonlinear vibrating string , plasma , blood vessel and nonliear transimission lines respectively
本论文运用约化摄动法分别研究了非线性弦振动、等离子体物理、血液流动和非线性电路传输线等领域中的孤波现象。 |
| 6. | We first expand the nonlinear temperature - dependent convective and radiative heat transfer coefficient about the ambient temperature by taylor - series method , and then the crystal temperature and the pull rate as well as the bulk melt temperature are determined by the perturbation techniques in a simply analytical manner
分析之过程为首先将随温度变化之对流系数及辐射系数做泰勒级数展闭，再以摄动理论之技巧，同时求解晶圆棒之温度、拉伸速度及溶解液之温度。 |
| 7. | In chapter four , by using reductive perturbation technique , ion acoustic solitary wave in weakly relativistic plasmas under transverse perturbation , the propagation of solitons in an inhomogeneous dusty plasma and the modulational instability of dust - acoustic waves in warm dusty plasmas are all discussed respectively
论文第四章分别研究了弱相对论等离子体横向扰动下的离子声孤波、非均匀尘埃等离子体中孤子的传播和尘埃等离子体中尘埃声波的调制不稳定性。 |
| 8. | And beginning with a perturbed nls equation , using a multi - scales perturbation expansion , we get the zero order and the first order equations , discuss the eigenstates of the operator in the equations , induct relevant " derivative states " , form the completeness of the bounded eigenstates of the associated operator in li space , and expand the corresponding parameters in the closure , get a series evolution equations of the coefficients in the expanded formulas , find the first order approximate solution by researching the evolution equations . this paper also gives the basis of this method - the completeness we have formed and the singular perturbation technique
) dinser方程的求解问题，讨论了自伴算子的本征函数的正交性和完备性，介绍了寻求微分方程的近似解常用的摄动方法，并从带有某种扰动项的nls方程出发，利用多重尺度的摄动方法得到了方程的零级近似方程和一级近似方程，通过对近似方程中算子的特征态的讨论，引入适当的“导出态” ，建立了算子在l _ 2空间的特征态的完备性。 |
| 9. | In this method , a new perturbation technique called linearization - correction method was used to linearize the nonlinear equations in the model , and then the wavelet precise integration method was used to calculate the sensitivity of the response . at last the stochastic perturbation method is used to analyse the variance and expectation of sediment concentration , rate and depth of flow . the calculated result was high agreement with that result of monte carlo method
在该方法中，采用了一种拟摄动法对模型中的非线性方程进行线性化，然后采用小波配置法对模型方程进行空间离散，最后用随机有限元方法求得模型中水流速度，水深和泥沙浓度的统计特性，计算结果和montecarlo法模拟结果吻合得很好。 |
| 10. | Applying perturbation technique , the image force on dislocation is obtained when dislocation located arbitrary point either outside or inside inhomogeneity , however , a number of previous related investigations on above problems only calculated the interactive dislocation force as the dislocation lies on the x - axis . the variation of screw dislocation forces for correlative material parameters and different radians of crack or rigid line is discussed particularly
针对以往大多数相关文献~ ( [ 7 ] - [ 16 ] )只求出了位错在x轴上时位错力表达式，本文应用扰动技术，导出了位错在基体或夹杂中任意点的位错力公式；并讨论了位错力随材料相关参数，裂纹或刚性线弧度的变化规律。 |
