精確解 的英文怎麼說
中文拼音 [jīngquèjiě]
精確解
英文
exact solution-
Explicit solutions of regularized long wave equation
正則化長波方程的顯式精確解Then, based on above review, we propose an analytical tachyon inflation model driven by scalar field with bom - infeld - type lagrangian. we find it ' s an analytical model if we choose an exponential potential. we compute it ' s power spectrum and find that it can explain the evolution of universe
如果將勢選擇為指數勢，模型變成精確可解的，本文找到了一個精確解析的宇宙暴漲解並利用該解計算了cmb譜，發現這個解可以用來解釋宇宙的演化。Accurate solution to the combined kdv equation of trigonometric function
方程的三角函數顯式精確解The most achievement is that we firstly obtain the analytic accurate solution of the modal fields of the waveguide structure and find some available character : ( 1 ) the different uniaxial crystal materials have the different propagation properties ; ( 2 ) when the optical axis of the crystal is on the plane that is made up of the normal direction of the waveguide plane and the propagation, there are te mode and tm mode in this special waveguide, but the principal mode is different of the character of the uniaxial crystal, the principal mode is the principal mode of te mode for the negative uniaxial crystal, but the one of tm mode for the positive uniaxial crystal ; ( 3 ) when the crystal optical - axis parallel to the waveguide plane, for the positive uniaxial crystal material, the principal mode of the waveguide is a te wave, which can be excited by the light at any frequency ; when the light frequency satisfies a single mode propagation condition, there will be only the principal mode propagating in the waveguide, otherwise some of the higher order modes can be excited, which are neither te modes, nor tm modes, but the hybrid guided modes
本文就是在此背景下，利用金屬波導和單軸晶體的一些特性，結合麥克斯韋方程組和波導的邊界條件，從三種不同的情況研究了光在對稱平面單軸晶體金屬波導（波導層是單軸晶體，兩個波導界面均為金屬）內的傳輸特性，其主要貢獻為，首次解析地得到了這種波導結構下模式場的精確解，並發現了一些有用的特性： （ 1 ）模式場的性質因單軸晶體的性質不同而異； （ 2 ）當單軸晶體光軸位於波導界面法方向與傳輸方向構成的平面內時，波導中傳輸te波和tm波，只不過其主模因單軸晶體的性質不同而異，當波導層介質為負單軸晶體時，波導主模是te波主模，而波導層介質為正單軸晶體時波導主模是tm波主模。 （ 3 ）當單軸晶體光軸位於波導面內時，對于正單軸晶體，波導的主模是橫電波te _ 0模，任何頻率的光波均可激勵該模式；當光波波長滿足一定條件時，波導內傳輸單模，否則，將激勵起高階模式，高階模即匪te波，也匪tm波，而是兩者耦合而成的混合模。This paper provides the functional equation and parametric expression of rooted near triangulations on the torus with the size and the valency of the root - face as two parameters, and gives an explicit formula for the number of rooted near triangulations of the root face valency one on the torus with the size as a parameter
本文提供了環面上帶邊數和根面次這兩個參數的有根近三角剖分的函數方程及其參數表達式，並給出了根面次為1以邊數為參數的有根近三角剖分地圖的精確解This paper provides the functional equation of general rooted maps with the number of inner faces, the rooted face valency and the number of non - rooted vertices as parameters on the torus, and gives an explicit expression of the enumerating function of these maps with the number of inner faces and of non - rooted vertices, then the number of these maps with the size as a parameter whose asymptotic result had been obtained in [ 2 ] is obtained as a corollary
這篇文章給出了環面上以內面個數，根面次和非根節點個數為參數的一般有根地圖的計數方程，導出了以內面個數和非根節點個數為參數的這類地圖的計數方程的精確解.作為推論，推出了以邊數為參數的這類地圖的個數，其近似解在文獻[ 2 ]中已討論The elastic foundation model is considered as two - parameter elastic foundation model and its effect to moderate - thick plates are taken into account by a set of governing differential equations. united with hu hai - chang ’ s function, least squares collocation weighted residual method which uses b - spline function as trial function is put forward for solving the bending problems. compare with the results of finite element method of lines, spline finite strip method, accurate solution of series etc. it is proved that the method in this article has adequate accuracy and practical feasibility
本文採用瑞斯納中厚板理論求解彈性地基板，建立雙參數地基與中厚板相互作用的控制微分方程，結合胡海昌的解耦函數，運用雙五次b樣條函數作為試函數的離散型最小二乘加權殘值法分析了雙參數地基上的中厚板的彎曲問題，並將結果與有限元線法、有限條法、級數精確解等進行比較，證明本文方法具有足夠的精確性與實際的可行性。Firstly we deduce hyperbolic function transformation and then apply to a class of reaction diffusion equation and brusselator reaction diffusion model which has physics, chemistry and biology significance. thus we obtain many new exact and explicit solutions ( including solitary wave soluiton, peoiodic wave solution and rational functions solutions ) to above equations
推導出了雙曲函數變換，利用此方法探討了一類反應擴散方程， brusselator反應擴散方程這些具有物理、化學、生物意義的方程的精確解（包括奇性孤波解，周期解和有理函數解） 。Abstract : this paper provides the functional equation of general rooted maps with the number of inner faces, the rooted face valency and the number of non - rooted vertices as parameters on the torus, and gives an explicit expression of the enumerating function of these maps with the number of inner faces and of non - rooted vertices, then the number of these maps with the size as a parameter whose asymptotic result had been obtained in [ 2 ] is obtained as a corollary
文摘:這篇文章給出了環面上以內面個數，根面次和非根節點個數為參數的一般有根地圖的計數方程，導出了以內面個數和非根節點個數為參數的這類地圖的計數方程的精確解.作為推論，推出了以邊數為參數的這類地圖的個數，其近似解在文獻[ 2 ]中已討論So a conclusion can be got that the annealing in n2 raises the la2o2, stability. 3. the exact solution and wkb approximation are compared, the exact solution agrees with the wkb approximation in calculating the mono - layer sio2 tunneling current, but the wkb approximation is inappropriate for the dual layer oxide - lanthanum structure, while the exact algorithm can give a exact result
比較了wkb和精確解法計算柵介質隧穿電流的方法，精確解法在解決單sio _ 2層和wkb準經典近似有相同的結果，但是wkb不適合計算la _ 2o _ 3 / sio _ 2雙層柵介層的隧穿電流，而精確解法能精確地計算雙層柵介質隧穿電流。In chapter 7, we discuss exact solutions of bk, dlw, kupershmidt equations by using expension riccati method which yan and zhang developed
第七章利用閆博士提出的兩種擴展的riccati方法討論了bk ， dlw ， kupershmidt等方程的精確解。Finally we apply jacobian function expension method to a class of nonlinear evolution equations, rlw and a compound kdv equations and get many new jacobian function solutions and solitary wave solutions
我們分別把它應用於一類非線性演化方程， rlw和組合kdv方程上去，獲得了許多雅可比橢圓函數解和其它精確解。In section 2. 2, by a priori estimates and fourier spectral method, we prove the existence and uniqueness of the global smooth solution for the periodic initial value problem and obtain the large time error estimate between spectral approximate solution and the exact solution. in sections 2. 3 and 2. 4, by a priori estimates and galerkin method, we prove the existence of the global smooth solution and global attrac - tors for the initial - boundary value problem. chapter 3, consider the initial - boundary value problem of the multidimen - sional non - homogeneous gbbm equations
第二章，考慮一類一維非齊次bbm方程，在第二節中利用fourier譜方法和先驗估計證明了具有周期初值問題的整體光滑解的存在性和唯一性，給出了fourier譜近似解和精確解的長時間誤差估計；在第三、四節中討論了初邊值問題，利用與時間t無關的一致先驗估計，證明了整體光滑解和整體吸引子的存在性。Finally we also discuss explicit exact solutions of kdv, coupled kdv and a compound kdv - burgers equations etc. wu algebraic elimenation method is most important basic tool during the course of solving proplem
我們還研究了kdv ，耦合kdv方程及一類組合kdv - burgers方程，一類非線性演化方程精確解，這些解包括奇性孤波解，周期解和有理函數解。A precise solution for torsion of bars with hollow elliptical cross section
一類橢圓截面空心柱體扭轉的精確解For obtaining exact solution for the impulse response or step response, the preferred method is to solve the original differential equation on a digital or analog computer.
要獲得脈沖反應或階躍反應的精確解，最好的辦法是用數字或模擬計算機求解原始微分方程。A construction method of exact solutions for burgers equation
方程的一類顯式精確解Exact solutions for burgers - fisher equation
一個新的哈密頓振幅方程的精確解Some exact solutions to nonlinear convection - diffusion equation
擴散方程的一些精確解New approach for solving nonlinear evolution equations
求非線性演化方程精確解的新方法分享友人