Question

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本文首先阐述了Kdv方程的定义以及Kdv方程的推导过程，然后叙述了Kdv方程的基本性质，接着介绍了七种Kdv方程的解法，分别是Hopf-cole变换，Hirota方法，齐次平衡法，Backlund变换，双曲正切法，Jacobi椭圆函数展开法。简要的叙述了七种解法的推导过程并运用到Kdv方程上并举例说明这七种方法在具体Kdv方程上的应用。希望能够通过阅读本文提高人们对Kdv方程的认识，更深的了解和掌握Kdv方程的重要性质，并能够予以很好的运用。

Answer 1

This article first elaborated the Kdv equation definition as well asthe Kdv equation inferential reasoning process, then narrated the Kdvequation basic nature, then introduced seven kind of Kdv equationsolution, respectively is the Hopf-cole transformation, the Hirotamethod, uneven inferior zero-method, Backlund transformation,hyperbolic 正切法, Jacobi elliptic function 展开法. The briefnarration seven kind of solutions inferential reasoning processes andutilized in the Kdv equation and explain with examples these sevenmethods in the concrete Kdv equation application. The hope can enhancethe people through reading this article to the Kdv equationunderstanding, a deeper understanding and grasps the Kdv equation theimportant nature, and can give the very good utilization.

Answer 2

This article admits and ratiocination process and the sincerity whichcabinet to a astheKdv equation ratiocination with the Kdv equationjust sameness where as the that time Kdvequation basic tenacitystanding is described first it makes, 7 types which that timeKdvequationsolution it introduces, each Hopf-cole transfer and theHirotamethod it cannot select 0 methods which are inferior, theBacklund transfer which is exaggerated? ? ? Is, Jacobi ellipticfunction? ? ? . The briefnarration7 type of ratiocination processwhich cabinets to a solution ratiocination the andutilized it seesinside Kdv equation this sevenmethods, inside concrete Kdv equationapplying explains. The Kdvequationunderstanding, the hope emptytin-can enhancethe person who deep reads this article in gain and lossand power Kdv equation theimportant character, and is a possibility ofdecreasing a quite good use.