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Pochhammer-chree方程

Web摘要 先介绍变分法发展的简单历史以及将来的发展趋势.然后综述变分法应用于非线性偏微分方程的基本思想和最新成果.通俗介绍环绕理论、变号临界点理论及应用,其中包括对称扰动方程和Rabinowitz公开问题、Brezis-Nirenberg临界指数方程、Li-Lin公开问题、Bose-Einstein凝聚、Berestycki-Caffarelli-Nirenberg猜测和 ... WebDec 16, 2024 · where $ \mu $ is a complex constant and $ Q ( z) , R ( z) $ are polynomials of degree $ \leq n $ and $ \leq n - 1 $, respectively. The Pochhammer equation was studied …

pochhammer频散方程高阶纵模式波的近似解 - 豆丁网

WebMay 10, 2024 · Pochhammer–Chree equation Among the many versions of the PC equation, those introduced by Love, 29 Redwood, 44 and Bancroft 35 are introduced in the Supplemental Material (Sections 3.1–3.3) with an emphasis on the benefit of the Bancroft … SAGE Journals: Your gateway to world-class research journals Pochhammer–Chree equation solver for dispersion correction of elastic waves in … A robust algorithm for solving the Bancroft version of the Pochhammer–Chree (PC) … Article Metrics - Pochhammer–Chree equation solver for dispersion correction … This journal is dedicated to the publication of high quality papers on all aspects of … Web广义Pochhammer—Chree方程的显式精确孤波解 - 百度学术 ... 摘要： 展开 neil rosiak tilbury douglas https://taylormalloycpa.com

pochhammer - Chinese Translation, Chinese Translation for pochhammer …

http://www.ichacha.net/en/pochhammer.html WebApr 17, 2024 · Solutions for the Pochhammer–Chree equation are obtained for various measuring bars used in experimental setups in the Research Institute for Mechanics of Lobachevsky State University of Nizhny Novgorod. The procedure of pulse shift accounting for dispersion has been implemented and tested on the basis of our experimental data … Web一般的非线性Pochhammer－Chree方程（简称PC）为utt－uttxx－uxx－σ（u）xx＝0．此方程在应用科学领域有非常重要的作用，它用来描述弹性杆的纵向形变波传播．近年来，关 … itmat funding

非线性Pochhammer-Chree方程的一个紧致差分格式-裴琴娟-中文期 …

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Pochhammer-chree方程

变分方法及其在非线性偏微分方程应用方面的进展和未决问题-维普 …

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Pochhammer-chree方程

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Web本文利用广义代数方法得到了推广的Pochhammer－Chree方程一些新的显式解，包括雅可比椭圆函数解，扭结状解，钟状解，奇异解等，这些解对于解释复杂物理现象有着非常重要 … Web非線形Pochhammer-Chree方程式に対する進行波解の存在を探し出すことを目指した。この方程式は物理と力学の両方において強力な背景を持つことが知られている。ソリトン …

http://library.jsce.or.jp/jsce/open/00035/2009/64-01/64-01-0413.pdf WebNov 8, 2024 · Pochhammer (1876) and Chree (1889) independently formulated the equation of motion in cylindrical coordi- nates for the propagation of a s inusoidal wave of frequency f through an infinite-length ...

Web摘要： 讨论了广义非线性Pochhammer-Chree方程行波解的存在性,该方程具有广泛的物理,力学背景.通过对相应常微分方程解的存在性及其性态的确定,得到了Pochhammer-Chree方程的孤立子行波解之存在性,给出了当非线性项为多项式型时方程弧立子解的显示表示,另外,对常微分方程建立的一些结论亦有独立存在 ...

Web广义Pochhammer-Chree方程是一个模拟弹性波在圆柱体中传播的非线性偏微分方程： [1] 行波解. 广义Pochhammer-Chree方程有一系列行波解：. 广义Pochhammer-Chree方程. 广 … neil rowe farming ltdWebJul 2, 2024 · The exact solutions of Pochhammer — Chree equation for propagating harmonic waves in isotropic elastic cylindrical rods, are analyzed. Spectral analysis of the … neil roundyWeb在数学中，高斯超几何函数或普通超几何函数2F1(a,b;c;z)是一个用超几何级数定义的函数，很多特殊函数都是它的特例或极限。所有具有三个正则奇点的二阶线性常微分方程的解都可以用超几何函数表示。 neil roth orthopedistWeb（建议 阅读最新版本） 广义超几何函数表示为1 \\begin{align}&{_pF_q}(a_1,\\dots, a_p; b_1, \\dots, b_q; z) = \\sum_{n=0}^\\infty \\frac{(a_1)_n ... it masters cyber securityWebSep 26, 2024 · Stochastic series. ARIMA models are actually a combination of two, (or three if you count differencing as a model) processes that are able to generate series data. … neil rowson spire hospitalWebJul 2, 2024 · The exact solutions of Pochhammer — Chree equation for propagating harmonic waves in isotropic elastic cylindrical rods, are analyzed. Spectral analysis of the matrix dispersion equation for the longitudinal axially symmetric modes is performed. Analytical expressions for displacement fields are obtained. Variation of the wave … neil roundy mdWeb基于正交分离算法,对比分析Pochhammer-Chree方程解与SAFE解,误差不足1.5%,证实半解析有限元算法在分析导波传播特性中的有效性。 (2)改进半解析算法研究了阻尼及初应力效应对导波模态传播的影响,纵波波速随应力水平提升而线性下降。 neil rothschild attorney pa