equation of jacobi 中文意思是什麼
equation of jacobi
解釋
雅可比方程-
An application of hamilton - jacobi - bellman equation in optimal investment
方程在最優投資中的應用 -
In addition, in order to solve the differencing equations, feasible project is presented to deal with the first and second boundary conditions. finally, jacobi interation method is selected for the solution of the equation systems
為了實現內點離散方程組的封閉，本文就第一、二類邊界條件在計算時的處理和邊界外虛擬點的外插法求值，給出了可行的解決方案。 -
A class of difference schemes with staggered grids for hamilton - jacobi equation
方程的交錯網格差分格式 -
The envelope equation of laser propagating in the plasma channel, and the general expression related the laser spot size with the propagation distance and the width of the plasma channel etc., are derived based on the hamilton - jacobi equation and the refractive index equation
在此基礎上得到了激光在等離子體隧道中傳輸的包絡方程以及光斑半徑與傳輸距離、隧道寬度等初始參量的關系。 -
From maxwell equations the refractive index equation and hamilton - jacobi equation, which describe the evolution of the electric field, are derived including the effects of the diffraction, the third - order intensity - dependent nonlinearity, plasma defocusing, the focusing and defocusing of the plasma channel, and the relativistic self - focusing
從maxwell方程出發我們得到了兩個包含衍射、三階強度非線性、等離子體散焦、等離子體隧道聚焦和散焦以及相對論自聚焦等效應在內的激光場演化方程，即折射率方程和哈密頓-雅可比方程。 -
In chapter two, the general model of the optimum investment, consumption and periodical insurance payable at death for life is discussed and its corresponding optimum control question is solved. the optimum strategy can be got through the corresponding hib ( hamilton - jacobi - bellman ) equation. as to the crra ( constant relative risk aversion ), a sort of utility function, indicatively, the optimum investment process, consumption process and the periodical insurance payable at death for life purchasing process can be gained with the feedback form
第二章討論最優消費、投資、定期人壽死亡保險的一般模型，解決了對應的最優控制問題，最優策略可通過求解hjb （ hamilton一jaeobi一bellman ）方程得到，當效用函數為crra （常數相對風險厭惡）類型時，顯式地得到具有反饋形式的最優投資過程、消費過程及定期人壽死亡保險購買過程。 -
In this paper, we convert the complex third order eigenvalue problems into the real third order eigenvalue problems. then, based on the euler - lagrange equation and legendre transformation, a reasonable jacobi - ostrogredsky coordinate system have been found, then using nonlinear method, the lax pairs of the real bargrnann and neumann system are nonlinearized, so as to be a new finite - dimensional integrable hamilton system in the liouville sense is generated. moreover, the involutive representations of the solution for the evolution equations are obtained
本文將復的三階特徵值問題轉化為實的三階特徵值問題，利用euler - lagrange方程和legendre變換，找到一組合理的實的jacobi - ostrogredsky坐標系，從而找到與之相關的實化系統，再利用曹策問教授的非線性化方法，分別將三階特徵值問題及相應的lax對進行非線性化，從而得到bargmann勢和neumann勢約束系統，並證明它們是liouville意義下的完全可積系統，進而給出了bargmann系統和neumann系統的對合解。 -
By using the modified mapping method and the extended mapping method, we derive some new exact solutions of the higher order nonlinear schr ? dinger equation, which are the linear combination of two different jacobi elliptic functions
摘要通過修正的映射方法和推廣的映射方法，我們得到了高階非線性薛定諤方程新的精確解，它們是兩個不同的雅可比橢圓函數的線性組合。 -
In chapter 3, the non - linear equation was linearized with the jacobi matrix, and then the linearized equation was transformed into fixed frame to analyze the stability problem with eigenvalue method ( on - ground or hovering ) or floquet theory ( forward flight ). meanwhile, the equation was perturbed by sweep frequency excitation from steady state to get transit decay of lag response which was then transformed into fixed frame with a numerical fourier coordination transformation ( fct ). the fixed frame response along with the body response was analyzed via an fft to determine modal frequencies
然後，在穩態響應的基礎上利用雅各比矩陣對非線性方程進行了線化，線化后的方程利用多槳葉坐標變換轉換到固定系下后，利用直接特徵值分析（地面、懸停）或floquet理論（前飛）對系統進行了穩定性分析;同時，對系統進行了瞬態響應分析;在系統達到穩態的基礎上進行掃頻激勵，用fft變換求得系統頻率，進而用移動矩形窗方法分析得到系統的阻尼。 -
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。 -
Jacobi transformation is used to find correlations among coefficients. then a method to transform general quadratic surface to formal quadratic surface equation is introduced. the location, direction and size of quadratic surface are obtained
論述了運用jacobi變換方法來處理系數相關性問題，實現了二次曲面的一般方程的求取，並探討了將通用系數形式轉化為標準二次曲面方程的方法，從而求得二次曲面在空間的位置、方向和大小。 -
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。 -
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。
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