Two Kinds of Darboux‐Bäcklund Transformations for the q‐Deformed KdV Hierarchy with Self‐Consistent Sources

Hongxia Wu, Liangjuan Gao, Jingxin Liu and Yunbo Zeng

Advances in Mathematical Physics, 2016, vol. 2016, issue 1

Abstract: Two kinds of Darboux‐Bäcklund transformations (DBTs) are constructed for the q‐deformed Nth KdV hierarchy with self‐consistent sources (q‐NKdVHSCS) by using the q‐deformed pseudodifferential operators. Note that one of the DBTs provides a nonauto Bäcklund transformation for two q‐deformed Nth KdV equations with self‐consistent sources (q‐NKdVESCS) with different degree. In addition, the soliton solution to the first nontrivial equation of q‐KdVHSCS is also obtained.

Date: 2016
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https://doi.org/10.1155/2016/8153752

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlamp:v:2016:y:2016:i:1:n:8153752

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