孤波解 的英文怎麼說

中文拼音 [gūbōjiě]
孤波解 英文
soliton solution
  • 孤 : Ⅰ名詞1 （幼年喪父或父母雙亡的） orphan 2 （姓氏） a surname Ⅱ形容詞（單獨; 孤單） lonely; isolate...
  • 波 : Ⅰ名詞1 （波浪） wave 2 [物理學] （振動傳播的過程） wave 3 （意外變化） an unexpected turn of even...
  • 解 : 解動詞（解送） send under guard
  1. New type of exact solitary wave solutions for dispersive long - wave equation and

    方程的新精確孤波解
  2. Therefore rath may be used as an exploratory tool to test a given equation has solutions of the assumed form

    因此rath可作為一個測試非線性演化方程是否擁有雙曲正切多項式形式的孤波解的有效實用的工具。
  3. ( 4 ) finally, the ginzberg - landau equation is considered. by the ansatz method, the chirped femtosecond solitonlike solution is given, and the stability of the solutions are studied in detail by linear stability analysis with variation method. also the long - distance stability of the ultrashort pulse and the interaction between the solutions are also discussed by numerical method

    （ 4 ）討論描述超短光脈沖傳輸的高階ginzberg - landau方程，給出該方程的啁啾類孤波解，並利用變分法解析地討論啁啾類孤波解的線性穩定性，同時研究這種類孤波解的長距離穩定性和相互作用。
  4. In the last forty years the research for finding solitary wave solutions has been experienced a great growth and some sucessful methods including the inverse scattering theory, backland transform, hirota ' s bilinear methods and the homogeneous balance method have been presented in succession

    近四十年來非線性演化方程孤波解的解法研究蓬勃發展，相繼誕生了一些比較成功的求解方法，如反散射方法、 b （ ? ） ckland變換方法、 hirota方法以及齊次平衡方法等，這些方法多年來得到了廣泛的發展和應用。
  5. 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） 。
  6. All of these reveal the further properties of the wave propagating in one - dimensional elastic continuum. on phase plane, the qualitative analysis are made, which exhibits four kinds of orbits : the heteroclinic orbit of burgers equation, the homoclinic orbit of k - dv equation, and saddle - foci heteroclinic orbit or saddle - joint heteroclinic orbit of kdv - burgers equation

    說明burgers方程在相平面上有相應于激波解的異宿軌道; k ~ dv方程有相應于孤波解的同宿軌道: kdv一buegers方程有相應于振蕩孤波解的鞍一焦異宿軌道和相應于激波解的鞍一結異宿軌道。
  7. 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。
  8. The system is solved by using wu elimination and exact solitary wave solutions of nonlinear evolution equations are then obtained

    利用吳文俊消元法求解非線性代數方程組，即可得到非線性演化方程的精確孤波解。
  9. By using the theory of planar dynamics system to a class of coupling nonlinear equations, the existence of uncountably infinite many smooth and non - smooth periodic wave solutions and solitary wave solutions is obtained. under different parametric conditions, various sufficient conditions to gurantee the existence of the above solutions are given

    研究了一類廣義耦合非線性方程的行波解分支，得到了該方程的無窮多光滑與非光滑周期波的存在性，並在各種不同的參數條件下，給出了保證該方程上述解以及孤波解存在的充要條件。
  10. These methods have been developed and get wide applications. in recent ten years, directly searching for travelling wave solutions of nonlinear evolution equations has become more and more attractive due to the availability of computer symbolic systems

    近十年來，隨著計算機符號計算系統的飛速發展，非線性演化方程孤波解的解法研究又成為了一個活躍的領域，涌現出了各種「直接方法」或「代數方法」 。
  11. New exact solitary wave solutions to the kawahara equation

    方程的新精確孤波解
  12. The new solitary solutions of - dimensional kdv equation

    型方程的新孤波解
  13. Solitary wave solutions to some systems of coupled nonlinear equations

    幾類耦合非線性發展方程組的精確孤波解
  14. A new function integration method and the new exact solutions of variant boussinesq equation

    幾類高維非線性發展方程的精確孤波解
  15. Conditional stability of the solitary wave solutions to bbm type equations and bbm - burgers type equations

    型方程孤波解的條件穩定性
  16. Bidirectional solitary wave solutions and soliton solutions for two nonlinear evolution equations

    兩個非線性發展方程的雙向孤波解與孤子解
  17. Exact jacobian periodic wave and solitary wave excitations for higher - order nonlinear schr dinger equation

    高階非線性薛定諤方程的精確周期解和孤波解
  18. The homogeneous balance method is a effective method of finding solitary wave solutions of nonlinear evoluiton equations

    齊次平衡法給出了一種求非線性演化方程孤波解的有效方法。
  19. Abstract : the homogeneous balance method is a effective method of finding solitary wave solutions of nonlinear evoluiton equations

    文摘:齊次平衡法給出了一種求非線性演化方程孤波解的有效方法。
  20. ( 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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