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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.

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.