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Lin, Runliang and Peng, Hua and Mañas Baena, Manuel
(2010)
*The q-deformed mKP hierarchy with self-consistent sources, Wronskian solutions and solitons.*
Journal of Physics A: Mathematical and Theoretical, 43
(43).
ISSN 1751-8113

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Official URL: http://dx.doi.org/10.1088/1751-8113/43/43/434022

## Abstract

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.

Item Type: | Article |
---|---|

Additional Information: | ©IOP Publishing Ltd. |

Uncontrolled Keywords: | Q-pseudodifferential symbols; N-component Kp; Backlund-transformations; Q-deformation; Kdv equation; Symmetries; Algebra |

Subjects: | Sciences > Physics > Physics-Mathematical 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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