elliptic difference equation 中文意思是什麼

elliptic difference equation 解釋
橢圓差分方程
  • elliptic : adj. 1. 橢圓（形）的。2. 省略法的；有省略處的。adv. -tically
  • difference : n. 1. 差異，差別。2. 不和，爭論。3. 【數學】差，差額。4. 【邏輯學】特殊性。vt. 〈罕用語〉區別，使有差別。
  • equation : n. 1. 平衡，均衡；平均，相等。2. 【數學】方程式，等式。3. 【天文學】（時）差；均分，等分。4. 【化學】反應式。
  1. First in section 1 we obtain the estimate of holder norm in time direction about the system of elliptic equation and elliptic equations by difference method and the result will be used in chapter 2

    首先，在第一節中我們對橢圓型方程問題和橢圓型方程組問題運用差分方法得到時間方向上的h （ ? ） lder模估計，其結果將用在第二章。
  2. By using the solutions of a new auxiliary elliptic equation, a direct algebraic method is proposed to construct the exact solutions of some nonlinear evolution equations. the main difference between this method and previous auxiliary elliptic equation methods is that the balance order becomes smaller after using the new auxiliary elliptic equation. therefore, the derived algebraic equations are greatly simplified. meanwhile, the obtained new solutions contain more parameters to be chosen. for some special cases, they give the previous known solutions. it is shown that some new exact periodic solutions of some nonlinear evolution equations are explicitly obtained with the aid of symbolic computation

    利用一個新的輔助橢圓方程將求解非線性發展方程精確解的問題轉化為一個代數方程組進行求解，與已有的輔助橢圓方程法的主要不同是，應用這一新的輔助橢圓方程后降低了平衡次數，減少了所得的代數方程組的個數和方程的項數，從而大大地簡化了代數方程組的求解.同時，由於輔助橢圓方程的解中包含了更多的可選參數，從而給出了非線性發展方程的更多形式的解.作為應用，藉助于計算機的符號計算，求得了一些非線性發展方程的新的精確周期解
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