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

Hongxia Wu, Liangjuan Gao, Jingxin Liu and Yunbo Zeng

Advances in Mathematical Physics, 2016, vol. 2016, 1-11

Abstract:

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

Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlamp:8153752

DOI: 10.1155/2016/8153752

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