nonlinear wave 中文意思是什麼

nonlinear wave 解釋
非線性波動
  • nonlinear : 非線性的
  • 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...
  1. Attractor for weakly damped nonlinear wave in anharmonic crystal

    非諧晶體中弱阻尼非線性波吸引子
  2. Unique existence and blowup characteristics of global solution for initial boundary value of a class of nonlinear wave equation of fourth order

    一類具有非線性邊界阻尼和源項的非線性波動方程的解的漸近性
  3. The nonlinear wave shape degenerates to a sinusoidal wave.

    非線性波形衰減成正弦波。
  4. They include the ship kelvin wave pattern and wave resistance, the interaction of surface waves with floating bodies, the seakeeping of ships high - speed vessels and offshore platforms, the evaluation of the drift forces and other nonlinear wave effects responsible for the slow - drift responses of compliant offshore platforms and their mooring systems designed for hydrocarbon recovery from large water depths

    這包含了船波和波的阻抗、波和浮體的交互作用、高速行駛船舶與近岸結構物之耐海性、拖曳力評估及其他造成順應式近岸結構物緩慢飄移現象的非線性效應，與結構物設計于深海中以重獲碳氫化合物之錨定系統。
  5. Nonexistence of global solutions for nonlinear wave systems

    非線性波動方程組整體解的不存在性
  6. The former three chapters considers the initial - boundary value problem for the nonlinear wave equation in a bounded domain fi c rn. chapter 2 investigates the problem with a, g and / like ( v2 ) = ( 1 + v2 ) - 1 / 2, g ( v ) = - | v | pv, p > 0 and f ( v ) = | v | mv, m > 0, respectively

    論文的主要內容分為四章，前三章主要研究定義在有界區域上的非線性波動方程的初邊值問題在第二章中（ v ）形式如（ 1 + v ~ 2 ） ~ （ - 1 / 2 ）
  7. Solution of nonlinear wave loads in regular oblique seas. based on strip method, thinking about nonlinear factors such as no straight shipboard on waterline, the instantaneous variation of wet surface shape and slamming effect of ship bottom, the numerical methods of nonlinear fluid force in large amplitude oblique regular seas are discussed

    關于斜浪規則波中非線性波浪載荷的計算:本文基於切片理論，考慮到船體非直舷、水下剖面形狀的瞬時變化以及砰擊等非線性因素，討論了大波幅斜浪規則波中非線性流體力的時域計算方法。
  8. Initial boundary value problems for nonlinear wave equations

    非線性波方程的初邊值問題
  9. Finally a set of equations with initiate values for boundary value problem is established where the velocity potential and its normal derivative are unknowns. because the model includes the effects of both the time and space to the velocity potential of free surface, it can be applied to strong nonlinear wave. as examples, solitary wave is computed in the numerical flume

    推導給出計算域內以所有節點波勢函數和波面位置高度的時間增量為未知量的線性方程組，並同時考慮時間因素和空間變位對波面勢函數的影響，在預設的計算精度下，通過時步內的循環迭代逐一確定每個時步上的波面運動位置，從而建立了一種可適于求解強非線性波浪變形計算的數值模式。
  10. We get the estimates of the upper bounds of hausdorff and fractal dimensions for the global attractors. in section 5. 3, the cauchy problem is studied, by using the weighted function space and the interpolating inequality, the existence of the global attractors for the damped generalized coupled nonlinear wave equations in an unbounded domain is proved. in section 5. 4, the time periodic solution problem of damped generalized coupled nonlinear wave equations with periodic boundary conditions is studied, the existence of time periodic soluation of this problem is proved by using the convergence of approximate time periodic solution sequences

    第五章，考慮了一類廣義耦合的非線性波動方程組，在第二節中討論了周期初值問題，證明了整體光滑解的存在性和唯一性，得到了整體吸引子，給出了hausdorff維數和分形維數的上界估計；在第三節中討論了cauchy問題，利用加權函數和加權空間的插值不等式，證明了無界區域上整體吸引子的存在性；在第四節中證明了時間周期解的存在性。
  11. Computer simulation to switching characteristics of nonlinear wave - guide couplers

    非線性波導耦合器開關特性的計算機模擬
  12. The mostly conclusion of this part is as follows, on the conditon of travelling wave, the exact solitary wave solutions to some nonlinear wave equations such as sawada - kotera equation, kaup - kupershmidt equation, the fifth order kdv equation, fisher - kolmogorov equation, on the help of the computer algebraic system ( maple ), are explicitly established by making use of the hyperbolic function method. this part is maken up of three sections

    本部分的主要結論如下，利用雙曲函數展開法，在行波條件下，對sawada - kotera方程， kaup - kupershmidt方程，五階kdv方程， fisher - kolmogorov方程，等幾類非線性波動方程求解，將其孤立波表示為雙曲函數的多項式，從而將非線性波方程的求解問題轉化為非線性代數方程組的求解問題，並藉助于計算機代數系統求解非線性代數方程組，最終獲得了這些非線性波動方程的若干精確孤立波解。
  13. Numerical computation is now the most popular method in the study of nonlinear wave propagation and transformation

    數值計算方法已成為研究波浪在近岸的傳播變形及其與障礙物之間的相互作用的主要方法之一。
  14. 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。
  15. Blow - up of the solution for the mixed problem of some nonlinear wave equations

    一類非線性波動方程混合問題解的爆破
  16. In this dissertation, with the aid of many types of constructive transformations and symbolic computation, some topics in nonlinear waves and integrable system are studied, including exact solutions, painleve integrability, backlund transformation, darboux transformation, symmetry ( similarity reduction ), conditional symmetry, lax integrable hierarchy, liouville integrable n - hamilton structure, constraint flow, involutive system, lax representation, r - matrix, separation of variables and integrable couplings. chapter 2 and 3 are devoted to investigating exact solutions of nonlinear wave equations : firstly, the basic theories of c - d pair and c - d integrable system are presented

    本文以構造性的變換及符號計算為工具，來研究非線性波和可積系統中的一些問題：精確解（如孤子解、周期解、有理解、 dromion解及compacton解等） 、 panileve可積性、 backlund變換、 darboux變換、對稱（相似約化） 、條件對稱、 lax可積族、 liouville可積的n - hamilton結構、約束流、對合系統、 lax表示、 r -矩陣、變量分離及可積的耦合系統
  17. Firstly, while the nominal model is used, the filtering effect is very good. secondly, when the system model is n ' t definite, the filtered heading angle and rudder angle are steady in the error range. finally, when the complicated nonlinear wave model replaces the linear wave model, the filtering effect is also steady, and the estimate precision is high

    首先，模擬是在名義模型的情況下進行的，此時h _濾波器的濾波效果很好；其次，我們在系統模型具有攝動的情況下進行模擬，此時經h _濾波器濾波后的航向輸出和舵令輸出基本能夠達到穩定；最後，我們採用較復雜的非線性海浪模型代替線性海浪模型進行模擬， h _濾波器的濾波效果也是比較穩定的，並且估計精度較高。
  18. 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
  19. ( 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。
  20. The mathematics - mechanization method is applied the field of differential equations. many algorithm for constructing solitary wave solutions for a class of nonlinear wave equations are given, and implemented in a computer algebraic system, such as the hyperbolic tangent function method and the hyperbolic function method etc. exact solitary wave solutions of a great deal of nonlinear equations are gained

    將機械化數學方法應用於偏微分方程領域，建立了構造一類非線性波方程的精確孤立波解的許多演算法，如，雙曲正切函數展開法，雙曲函數方法等，並在計算機數學系統上加以實現，因而推導出了一批非線性波方程的精確孤立波解。
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