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Using homogeneous balance principle (HBP) and with the aid of Mathematica, the new exact solutions to Benny equation are obtained, which modifies and perfects the known results. 利用齐次平衡法,借助计算机代数系统Mathematica,得到了Benney方程新的显式精确解,修正和完善了已有文献给出的结果。
The Homogeneous balance principle 齐次平衡原则
homogenous balance principle 齐次平衡法
The extended homogenous balance method is applied to find solitary wave solutions of nonlinear evolution equations. 摘要为了求非线性发展方程的孤立波解，提出了齐次平衡法的扩展应用。
homogeneous balance principle 齐次平衡原则
According to the heat balance principle,the boiler thermal calculation model based on the on-line operating data is presented. 运用热平衡基本原理，建立了基于在线监测数据的热力计算模型。
Using the harmonic balance principle and the Newton-Raphson iteration method the thesis proposed a very efficient algorithm to solving the steady state problem of such system. 该模型可以看作是广义的Duffing方程组．利用谐波平衡原理及牛顿迭法给出了一般求解方法，在非线性电路计算方面有所突破。
Features: the active transmission of the machine adapts balance principle of double active shaft, automatic cycle lubricating and air cooling with multi-pipe screen. 特点：该机主传动采用双主轴动平衡原理，自动循环润滑，多管网空冷。
This paper advances the semantic balance principle and tries to go further into the regularities that double-syllabled onomalopoeic words choose different types of reiterative syllable. 文章提出汉语叠音词语义平衡性原则，尝试探讨汉语双音节象声词生成叠音词的规律。
Its mortgages must be financed through the issuing of bonds that adhere to the “balance principle”: the maturity and cashflows of the bonds must match those of the underlying loans almost perfectly. 其房产抵押贷款必须遵守“平衡原则”，通过发行债券来融资：债券到期的现金流出必须和同期房贷还款的现金流入几乎完全吻合。
Abstract: The homogeneous balance method is a effective method of finding solitary wave solutions of nonlinear evoluiton equations. 文摘:齐次平衡法给出了一种求非线性演化方程孤波解的有效方法。
Based on the material balance principle and the results of references[ 1, 2 ], the methods of forecasting initial natural gas reserves for the undersaturated and the saturated oilfields in dif... “本文基于物质平衡原理和文献[1，2]的成果，对于未饱和油藏和饱和油藏，不同驱动类型和开发阶段，提出了预测油田中天然气可采储量的方法。
The homogeneous balance method is a effective method of finding solitary wave solutions of nonlinear evoluiton equations. 齐次平衡法给出了一种求非线性演化方程孤波解的有效方法。
The mathematical model with threshold pressure gradient and injection-production ratio is constructed when the formation pressure change linearly on the base of material balance principle. 利用物质守恒原理,建立地层压力线性变化趋势下考虑启动压力梯度和注水强度影响的渗流数学模型。
In the end, the author refer the application of proximate cause principle and possibility balance principle to distinguishing the insured risk and excepted risk in the insurance field. 最后,对在实务中,利用近因原则和可能性平衡原则区分承保风险和除外风险进行了论述。
The Consumer shall, pursuant to the direct balancing principle, install and switch the reactive power compensator in a reasonable way. 用电方按无功补偿就地平衡原则，合理装设和投切无功补偿装置。（合同）
She performed on the balance beam with much grace. 她在平衡木上表演得非常优美。
The same principle may make for smoother writing. 这同一原则也可使文章写得更通顺。
Exact bell shaped solitary solutions for the generalized KdV and mKdV equations with variable coefficients are obtained by the use of truncated expansion method and extended homogeneous balance method. 利用截断展开法和延拓齐次平衡法同时求出了广义变系数KdV方程和广义变系数mKdV方程的精确钟状类孤子解 .
The system works on the principle that heat rises. 该项装置是按照热力上升的原理运转的。