A New Auto‐Bäcklund Transformation of the KdV Equation with General Variable Coefficients and Its Application

Chunping Liu

Abstract and Applied Analysis, 2014, vol. 2014, issue 1

Abstract: First, by improving some key steps in the homogeneous balance method, a new auto‐Bäcklund transformation (BT) to the KdV equation with general variable coefficients is derived. The new auto‐BT in this paper does not require the coefficients of the equation to be linearly dependent. Then, based on the new auto‐BT in which there is only one quadratic homogeneity equation to be solved, an exact soliton‐like solution containing 2‐solitary wave is given.

Date: 2014
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https://doi.org/10.1155/2014/591982

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:591982

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