hyperbolic transformation 中文意思是什麼

hyperbolic transformation 解釋
雙曲變換
  • hyperbolic : adj. 【數學】雙曲線的。adv. -ically adj. 誇張法的。
  • transformation : n 轉變，變化；變形；【生物學】（尤指昆蟲的）轉化，變態，改造，改革；變質；【數學】變換；【電學】...
  1. 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） 。
  2. Chapter5 : the recently developed method of hyperbolic tangent function expansion is extended and new function transformation is applied to construct some new solitary solutions of kdv equation and klein - gordon equation and the jacobi elliptic function expansion method, which is advanced in 2001, and the extended method of doubly jacobi function expansion are used to construct the exact solutions of a kind of nonlinear evolution equations

    第五章對近年來發展起來的雙曲正切函數展開法加以改進，採用新的變換函數，得到了kdv方程和非線性klein - gordon方程的一些新的孤立波解。其次，分別採用2001年提出的jacobi橢圓函數展開法和本文由此擴展而來的雙橢圓函數展開法，求解了一大類非線性發展方程，得到了一系列新的周期解。
  3. As the time microscale factor in fast transient high - strength heating or cooling can not been ignored, heat relaxation time is introduced. based on hyperbolic heat conduction equation and kinetic equation added inertia, theoretical analysis and study of stress diffusion and transformation in heat impact process were developed

    考慮到快速高強度加熱或冷卻帶來的時間微尺度因素，引進熱鬆弛時間，以雙曲線型熱傳導方程和考慮慣性力的運動方程為基礎，對熱沖擊過程的應力傳播與變化規律進行了理論上的分析和研究。
  4. Chapter 4 gives hyperbolic function transformation method and its applications

    第四章討論了雙曲函數變法及其應用
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