Two Kinds of Darboux-Bäcklund Transformations for theq-Deformed KdV Hierarchy with Self-Consistent Sources-Reference-Cited by-同舟云学术

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

Published:2016 Issue: Volume:2016 Page:1-11
ISSN:1687-9120
Container-title:Advances in Mathematical Physics
language:en
Short-container-title:Advances in Mathematical Physics

Author:

Wu Hongxia¹²^ORCID,Gao Liangjuan¹,Liu Jingxin¹,Zeng Yunbo³

Affiliation:

1. Department of Mathematics, School of Sciences, Jimei University, Xiamen 361021, China

2. Department of Mathematics, The University of Texas Rio Grande Valley, Edinburg, TX 78539, USA

3. Department of Mathematics, Tsinghua University, Beijing 100084, China

Abstract

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

Funder

National Natural Science Foundation of China

Publisher

Hindawi Limited

Subject

Applied Mathematics,General Physics and Astronomy

Link

http://downloads.hindawi.com/journals/amp/2016/8153752.pdf

Reference17 articles.

1. Quantum deformation of KdV hierarchies and their exact solutions: q-deformed solitons

2. Quantum affine algebras and deformations of the Virasoro and 237-1237-1237-1

3. The bispectral property of aq-deformation of the Schur polynomials and theq-KdV hierarchy

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