wave differential equation 中文意思是什麼

wave differential equation 解釋
波動微分方程
  • wave : n 〈美海軍〉女志願軍人〈見 WAVES 條〉。n 1 波浪；碎浪； 〈the wave（s）〉 〈詩〉海。2 波動；波狀...
  • differential : adj 1 差別的，區別的；特定的。2 【數學】微分的。3 【物、機】差動的，差速的，差示的。n 1 （鐵路不...
  • 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. The cross - well seismic forward modeling program can be applied to geological model that has different velocities and dips to calculate cross - well seismic synthetics for given sources and receivers by ray tracing the least traveltime or four order differential wave equation

    研製的井間地震正演合成記錄的程序，可用來對不同速度、不同傾角的地質模型，通過最小旅行時的射線追蹤或四階差分聲波波動方程，計算出對于給定震源和給定檢波點的井間地震合成記錄。
  2. In the third chapter, we will study the existence and uniqueness of the classical global solution and generalized global solution to the periodic boundary value problem and the cauchy problem for this kind of equation. in the second chapter, we study the following nonlinear wave equation of higher order : with the initial boundary value conditions or with where a1, a2, a3 > 0 are constants, ( s ), f ( s0, s1, s2 s3, s4 ) are given nonlin - ear functions, u0 ( x ) and, u1 ( x ) are given initial functions. for this purpose, by green ' s function of a boundary value problem for a fourth order ordinary differential equation we first reduce the problem ( 1 ) - ( 3 ) to an equivalent intergral equation, then making use of the contraction mapping principle we prove the existence and uniqueness of the local classical solution for the intergral equation

    本文分三章，第一章為引言；第二章研究一類非線性高階波動方程的初邊值問題的整體古典解的存在性和唯一性，以及古典解的爆破；第三章研究此方程的周期邊界問題和cauchy問題的整體廣義解和整體古典解的存在性和唯一性，具體情況如下：在第二章中，我們研究一類非線性高階波動方程的如下初邊值問題：或或其中a _ 1 ， a _ 2 ， a _ 3 0為常數， （ s ） ， （ s _ 0 ， s _ 1 ， s _ 2 ， s _ 3 ， s _ 4 ， ）為已知的非線性函數， u _ 0 （ x ） ， u _ 1 ， （ x ）為已知的初始函數，為此，我們先用四階常微分方程邊值問題的green函數把上述問題轉化為等價的積分方程，然後利用壓縮映射原理證明此積分方程局部古典解的存在性和唯一性，又用解的延拓法證明上述問題整體古典解的存在性和唯一性，主要結果有：定理1設u _ 0 （ x ） ， u _ 1 （ x ） c ~ 4 [ 0 ， 1 ]且滿足邊界條件（ 2 ） ，若以下條件滿足：其中a ， b月0為常數， w
  3. The standard parabolic equation method was obtained by the decompocition of the scalar wave equation and the expansion of the pseudo - differential operator

    通過對傳統波動方程的分解和偽微分運算元的近似展開，獲得了標準拋物線方程。
  4. ( 1 ) based on two types of riccati equations, two kinds of new methods are proposed to obtain solutions of nonlinear differential equations. twelve families of exact solutions of wbk equation are found by using one of two methods ; ( 2 ) the homogeneous balance method is improved cind investigated to ( 2 + l ) - dimensional broer - kaup equation such that many families of new solutions are derived. ( 4 ) based on the isospectral lax pair of riccati form for generalized kdv equation with the force term, new darboux transformation and solitary - like wave solutions and rational solutions are obtained ; ( 4 ) by constructing darboux transformation and the superposition formula of generalized variable coefficients kdv equation with the force term, new single solitary - like wave solutions, double solitary - like wave solutions and rational solutions are found for ( 2 + l ) - dimensional generalized kp equation

    第二章和第三章考慮非線性偏微分方程的精確解的構造：首先給出了c - d對和c - d可積系統的基本理論，然後在第三章中具體研究了它們的應用： （ 1 ）基於兩種riccati方程，提出了兩種新的求解非線性微分方程更多解的方法，利用其中的一種方法，得到了wbk方程的12組精確解； （ 2 ）對齊次子衡法進行改進，以致於獲得了（ 2 + 1 ） -維broer - kaup方程的很多新解； （ 3 ）基於帶有外力項的廣義kdv方程的riccati形式的非等譜lax對，提出了該方程的一個新的darboux變換，利用該變換，得到了新的類孤波解和有理解； （ 4 ）通過構造了帶有外力項的變系數kdv方程的darboux變換及疊加原理，獲得（ 2 + 1 ） -維廣義kp方程的新的類單孤波解、雙類孤波解和有理解。
  5. In chapter 2 and 3, wave front solutions of the delay reaction - diffusion cui - lawson equation and the 2 - dimensional competitive lotka - volterra systems are obtained by constructing an upper solution and a lower solution of a second differential equation with delay. in chapter 4, it is discussed that travelling wave solutions of the delay reaction - diffusion equations whose reaction term do not satisfy quasimonotonicity condition or weak quasimonotonicity condition

    在第二章和第三章，利用一類二階時滯微分方程解的存在性理論，通過構造這類時滯微分方程的上、下解，分別研究了含時滯和擴散的cui - lawson方程和二維競爭型lotka - volterra系統，得到了它們波前解存在的充分條件。
  6. 2. the discrete sampling value of field track vibration acceleration wave is transformed by fft and analyzed by deterministic analysis. one degree of freedom simplified model is used for train and the kinematic equilibrium differential equation is deduced to simulate the vertical wheel system

    最後，通過線性回歸得到了該地鐵軌道交通引起的環境振動的振級衰減公式; 2 .通過快速fourier變換，對實測的軌道振動加速度進行了數定分析。
  7. A plane - wave expansion method based on the effective medium theory is firstly introduced, and the new method has a better convergence than that of the pwm. as a new method for calculating the band structure of a photonic crystal, a finite difference scheme is also introduced to the governing differential equation based on the effective medium theory

    首先提出了基於等效介質理論的平面波方法，顯著地改善了平面波演算法的收斂性質；同時提出一種新的計算光子晶體能帶的有限本徵差分演算法，與已有的平面波展開法相比，新方法保留了本徵值演算法的獨特優點，同時又克服了平面波展開法的慢收斂性。
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