RT Journal Article
T1 The q-deformed mKP hierarchy with self-consistent sources, Wronskian solutions and solitons
A1 Lin, Runliang
A1 Peng, Hua
A1 Mañas Baena, Manuel Enrique
AB Based on the eigenfunction symmetry constraint of the q-deformed modified KP hierarchy, a q-deformed mKP hierarchy with self-consistent sources (q-mKPHSCSs) is constructed. The q-mKPHSCSs contain two types of q-deformed mKP equation with self-consistent sources. By the combination of the dressing method and the method of variation of constants, a generalized dressing approach is proposed to solve the q-deformed KP hierarchy with self-consistent sources (q-KPHSCSs). Using the gauge transformation between the q-KPHSCSs and the q-mKPHSCSs, the q-deformed Wronskian solutions for the q-KPHSCSs and the q-mKPHSCSs are obtained. The one-soliton solutions for the q-deformed KP (mKP) equation with a source are given explicitly.
PB IOP Publishing Ltd
SN 1751-8113
YR 2010
FD 2010-08-29
LK https://hdl.handle.net/20.500.14352/44698
UL https://hdl.handle.net/20.500.14352/44698
LA eng
NO ©IOP Publishing Ltd.The authors are grateful to the referees for the quite valuable comments. This work is supported by National Basic Research Program of China (973 Program) 2007CB814800) and National Natural Science Foundation of China (grand No. 10801083 and 10901090). RL acknowledges the economical support from “BancoSantander–Tsinghua University” program for his stay in UCM, and he also thanks the Departamento de Física Te´orica II (UCM) for the warm hospitality.
NO National Basic Research Program of China
NO National Natural cience Foundation of China (973 Program)
NO Banco Santander-Tsinghua University
DS Docta Complutense
RD 10 abr 2025