Abstract
One of KdV wave form is 𝑢𝑡 + 6𝑢𝑢𝑥 + 𝑢𝑥𝑥𝑥 = 0. This paper deals with finding numerical solutions of KdV’s equation which form a running wave 𝑢(𝑥, 𝑡) = 𝑢(𝑥 − 𝜆𝑡), by using Stepeest DescentMethod which is charged on Hamilton 𝐻(𝑢) and Momentum 𝑀(𝑢). By using MAPLE software, we obtain numerical solutions of KdV equation in the form of running wave profile
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