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Lin, Runliang and Peng, Hua and Mañas Baena, Manuel (2010) The qdeformed mKP hierarchy with selfconsistent sources, Wronskian solutions and solitons. Journal of Physics A: Mathematical and Theoretical, 43 (43). ISSN 17518113

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Official URL: http://dx.doi.org/10.1088/17518113/43/43/434022
URL  URL Type 

http://iopscience.iop.org  Publisher 
http://arxiv.org/abs/1005.3878  Organisation 
Abstract
Based on the eigenfunction symmetry constraint of the qdeformed modified KP hierarchy, a qdeformed mKP hierarchy with selfconsistent sources (qmKPHSCSs) is constructed. The qmKPHSCSs contain two types of qdeformed mKP equation with selfconsistent sources. By the combination of the dressing method and the method of variation of constants, a generalized dressing approach is proposed to solve the qdeformed KP hierarchy with selfconsistent sources (qKPHSCSs). Using the gauge transformation between the qKPHSCSs and the qmKPHSCSs, the qdeformed Wronskian solutions for the qKPHSCSs and the qmKPHSCSs are obtained. The onesoliton solutions for the qdeformed KP (mKP) equation with a source are given explicitly.
Item Type:  Article 

Additional Information:  ©IOP Publishing Ltd. 
Uncontrolled Keywords:  Qpseudodifferential symbols; Ncomponent Kp; Backlundtransformations; Qdeformation; Kdv equation; Symmetries; Algebra 
Subjects:  Sciences > Physics > PhysicsMathematical models Sciences > Physics > Mathematical physics 
ID Code:  31497 
Deposited On:  20 Jul 2015 10:28 
Last Modified:  10 Dec 2018 15:09 
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