Explicit Solutions to the Coupled KdV Equations with Variable Coefficients
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摘要: 将Jacobi椭圆正弦函数展开法与Jacobi椭圆余弦函数展开法引入到变系数KdV方程组的求解中,得到了三组类周期波解.这些解析解在一定条件下退化为类孤波解.Abstract: By means of sn-function expansion method and cn-function expansion method,several kinds of explicit solutions to the coupled KdV equations with variable coefficients are obtained,which include three sets of periodic wave-like solutions.These solutions degenerate to solitary wave-like solutions at a certain limit.Some new solutions are presented.
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