mechanization of equations 中文意思是什麼
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Chapter 5 considers two mechanization algorithm of jacobian function solutions based on sine - gordon and sinh - gordou equations
在解決問題的過程中吳代數消元法是最重要的基本工具。 -
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。 -
The present paper intends to construct a systematic approach to search a type of particular exact solutions to nonlinear wave equations by utilizing the theory of mathematics mechanization proposed by famous mathematician wu wentsun. by the approach, two classes of important nonlinear coupled scalar field equations arising in the field of nonlinear physics are studied systematically and a batch of exact solutions containing steady and diverging solitary wave solutions and periodic ones are obtained, which are helpful in clarifying the movement of matter under the nonlinear interactiveties and play an important role in sicentifically explaining of the corresponding physical phenomenon
本文將我國著名數學家吳文俊的數學機械化思想應用於非線性物理領域，給出了構造非線性波方程組一類特殊精確解的一種統一演算法，利用這種演算法系統地研究了出現于非線性物理領域中的兩類重要的非線性耦合標量場方程組，獲得了這些方程組一批精確解（包括穩定和發散形式的孤立波解以及周期解） 。
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