The generalised q-Wronskian solutions of the q-deformed constrained modified KP hierarchy
Ge Yi, Wei Wang, Kelei Tian, Ying Xu
TL;DR
This paper derives generalized q-Wronskian solutions for the q-deformed constrained modified KP hierarchy, providing conditions for reduction from the broader q-mKP hierarchy to the M-component q-cmKP hierarchy.
Contribution
It introduces a form of the q-cmKP hierarchy generated by a gauge transformation and establishes conditions for reducing solutions from the q-mKP hierarchy.
Findings
Form of the q-cmKP hierarchy via gauge transformation
Necessary and sufficient conditions for solution reduction
Extension of solutions to M-component hierarchies
Abstract
In this paper, we give the form of the q-cmKP hierarchy generated by the gauge transformation operator . We show a necessary and sufficient condition to reduce the generalised q-Wronskian solutions from the q-mKP hierarchy to generalised the q-Wronskian solutions of M-component q-cmKP hierarchy.
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Taxonomy
TopicsNonlinear Waves and Solitons · Fractional Differential Equations Solutions · Algebraic structures and combinatorial models