jacobi elliptic function 中文意思是什麼

jacobi elliptic function 解釋
雅可比橢圓函數
  • jacobi : 哈科維
  • elliptic : adj. 1. 橢圓（形）的。2. 省略法的；有省略處的。adv. -tically
  • function : n 1 功能，官能，機能，作用。2 〈常 pl 〉職務，職責。3 慶祝儀式；（盛大的）集會，宴會。4 【數學】...
  1. The new jacobi elliptic function expansion method by the long - short wave interaction equation

    橢圓函數新的展開法求解
  2. ( 2 ) by the jacobi elliptic function expansion method and computer symbolic systems ( maple, matlab ), many exact periodic solutions of nonlinear wave equations can be obtained and these solutions can degenerate solitary wave solutions, shock wave solutions, trigonometric function solutions

    （ 2 ）利用jacobi橢圓函數表示法和數學計算軟體（ maple ， matlab等） ，可以得到一類常系數非線性發展方程的雙周期解，這些解能退化成孤立子解，沖擊波解，三角函數解。
  3. Chapter5 : the recently developed method of hyperbolic tangent function expansion is extended and new function transformation is applied to construct some new solitary solutions of kdv equation and klein - gordon equation and the jacobi elliptic function expansion method, which is advanced in 2001, and the extended method of doubly jacobi function expansion are used to construct the exact solutions of a kind of nonlinear evolution equations

    第五章對近年來發展起來的雙曲正切函數展開法加以改進，採用新的變換函數，得到了kdv方程和非線性klein - gordon方程的一些新的孤立波解。其次，分別採用2001年提出的jacobi橢圓函數展開法和本文由此擴展而來的雙橢圓函數展開法，求解了一大類非線性發展方程，得到了一系列新的周期解。
  4. In the part of discussion, the suitability of the jacobi elliptic function expansion method is also studied by proposing the " rank ". and we firstly point out that when the " ranks " of every term of the nonlinear evolution equation are simultaneously even or odd, the method can be used to solve the equation

    為了討論了jacobi橢圓函數展開法的適用性問題，我們最先引進「秩」的概念，指出只要非線性發展方程的各項的「秩」滿足相同的奇偶性，就可以用這種展開法求解。
  5. We improve this method as follows : ( 1 ) single jacobi elliptic function is replaced with an unified jacobi elliptic equation, thus repeated calculation is avoided ; ( 2 ) extending the expansion method from sole - function to double - function form, the more solutions for npde are obtainted ; ( 3 ) using many of jacobi elliptic functions besides ordinary three kinds, the content of solutions represented by jacobi elliptic by the jacobi elliptic function expansion method and computer functions is very abundant

    我們對此方法做了如下幾點改進：用統一的jacobi橢圓方程組代替單個的jacobi橢圓函數，避免重復計算；將jacobi橢圓單函數展開方法推廣到jacobi橢圓雙函數展開，這樣可以得到更多的解；將通常使用的三個jacobi橢圓函數推廣到多個jacobi橢圓函數，豐富了用jacobi橢圓函數表示的解的內容。利用改進的jacobi橢圓函數展開法，求解了bbm方程和boussinesq方程組。
  6. ( 2 ) by the jacobi elliptic function expansion method and computer symbolic systems ( maple, matlab or mathematica ), many exact periodic solutions of nonlinear wave equations can be obtained and under some conditions, these solutions degenerate solitary wave solutions, shock wave solutions, trigonometric function solutions respectively

    （ 2 ）利用jacobi橢圓函數展開法和數學計算軟體（ maple ， matlab ， mathematica等） ，可以求得一類常系數非線性發展方程的雙周期解，這些解能退化成孤立子解、沖擊波解、三角函數解。
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