two-dimensional wave equation 中文意思是什麼

two-dimensional wave equation 解釋
二維波動方程
  • two : n. （pl. twos）1. 兩人；兩個東西，一對。2. 二的記號。3. 兩點鐘。4. 兩歲。n. -ness
  • dimensional : adj. 1. 尺寸的。2. 空間的。3. 【數學】因次的；…次（元）的。
  • 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...
  • 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. A nonlinear numerical model for wave transformation is established in time domain based on integral equation transformed from two dimensional laplace equation. then the model is applied to compute the linear wave and nonlinear wave deformation in offshore flow field. a new 0 - 1 combined bem ( boundary element method ) is adopted in this thesis to avoid computational errors accumulated with time steps

    本文以波動勢函數的laplace方程的green積分轉換得到的邊界積分方程為基本控制方程，建立了一種新的時域內波浪變形計算的數值模型，籍此對非線性波浪在結構物周圍的波浪形態進行了數值模擬，並通過數值造波水槽內的波浪試驗對數值模擬結果進行檢驗。
  2. The expression of the improved boussinesq equations in curvilinear orthogonal coordinate system is derived. on the basis of poission equation conversion, the methods to generate curvilinear orthogonal grids are introduced, and then the two - dimensional numerical wave model under curvilinear orthogonal coordinate system is established

    推導了正交曲線坐標系下的改進型boussinesq方程，以poission方程變換為基礎，建立擬合正交曲線坐標系下正交曲線網格的生成方法，進而建立正交曲線坐標系下的二維波浪模型，提高了模型對復雜地形的適用性。
  3. ( 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。
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