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, 1-5

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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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:591982

DOI: 10.1155/2014/591982

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