孤波 的英文怎麼說
中文拼音 [gūbō]
孤波
英文
solitary wave-
New type of exact solitary wave solutions for dispersive long - wave equation and
方程的新精確孤波解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。Succeed to the work of precessors, in this paper an applied maple package rath is developed on the bases of wu ' s characteristic sets method for solving nonlinear algebraic equations, which is a complete implementation of tanh - function method
本文在前人工作的基礎上，在計算機代數系統maple上開發了一個基於吳方法的孤波自動求解軟體包rath ，它完全實現了雙曲正切方法的自動化。( 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。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。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） 。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。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。For unmagnetized, relativistic and hot ion plasmas, the ion - acoustic waves can be described by the kadomtsev - petviashvili ( kp ) equation ( ( ut + auux + buxxx ) x + duyy = 0 ). it suggests that the nonlinear ion - acoustic solitary waves in a relativistic hot ion plasma are stable even there are some higher order transverse perturbations. there are only compressive solitary waves in the relativistic hot ion plasmas which has been vertified analytically
在低階近似下，無磁場相對論熱離子等離子體可由kp方程（ （ u _ t + auu _ （ x ） + bu _ （ xxx ） _ x + cu _ （ yy ） = 0 ）來描述，相對論熱離子等離子中的非線性離子聲孤波在高階橫向擾動下是穩定的，且在相對論熱離子等離子體中僅存在壓縮型孤波By using the matlab, we find that the real part of the solution is a kink soliton and the imaginary of it comprise a bell soliton
利用matlab的數值模擬我們看到這種復線性孤子解的實部由一個扭狀的孤波組成，而其虛部是一個鐘狀的孤立波。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。Abstract : based on two order approximation of the variation of refraction index produced by self - action while optical pulses are traveling in kerr - medium, the propagation equation has been solved. furthermore, the strict analytical expressions of the amplitude, width and chirp parameter of chirped gaussian pulse, relative to the propagation distance, are deduced. the solitary wave traveling conditions of fundamental mode gaussian pulse have been discussed
文摘:將光脈沖在克爾介質中自作用產生的折射率變化作二階近似，求解所得到的傳播方程，得到啁啾高斯脈沖幅度，脈沖寬度和周啾參數隨傳播距離變化的嚴格解析解，討論了基模高斯脈沖孤波傳播的條件。The results indicate that the soliton amplitude slightly decreases in the border between the single - mode fiber ( smf ) and the dispersion compensation fiber ( dcf ), but and its shape remains unchanged, while its signal amplitude is amplified when it passes an amplifier and its shape automatically restored
研究表明，在普通光纖與色散補償光纖的交界處，孤波的幅度有所降低，但其形狀保持不變；光孤子通過放大器后其幅度得到放大，其形狀將自動得到恢復。And we also elucidate some characteristics of solitons and density cavitons which have formed, which has most important value to detect the moving body which has a " stealth " characteristic
第四章我們給出了一些主要結論，闡明了所形成的電磁孤波和密度空腔的一些特性。這些對研究隱身飛行器的探測問題，具有很重要的意義。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。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」 。Water waves. derivation of the equations and linearization. notions of dispersion and group speed. weak nonlinearity and solitary waves. perturbation expansions
水波。方程的導出及其線性化。離差和群速的概念。弱非線性和孤波。攝動擴展。New exact solitary wave solutions to the kawahara equation
方程的新精確孤波解The new solitary solutions of - dimensional kdv equation
型方程的新孤波解A study of non - propagating solitary waves inside water in a shallow box
淺水中水內部非傳播孤波的研究分享友人