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oai:docta.ucm.es:20.500.14352/446982024-08-26T17:17:11Zcom_20.500.14352_14col_20.500.14352_15

00925njm 22002777a 4500 dc Lin, Runliang author Peng, Hua author Mañas Baena, Manuel Enrique author 2010-08-29 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. 1751-8113 10.1088/1751-8113/43/43/434022 https://hdl.handle.net/20.500.14352/44698 http://dx.doi.org/10.1088/1751-8113/43/43/434022 http://iopscience.iop.org http://arxiv.org/abs/1005.3878 The q-deformed mKP hierarchy with self-consistent sources, Wronskian solutions and solitons