q-Analogue of Modified KP Hierarchy and its Quasi-Classical Limit
نویسندگان
چکیده
منابع مشابه
q-analogue of modified KP hierarchy and its quasi-classical limit
A q-analogue of the tau function of the modified KP hierarchy is defined by a change of independent variables. This tau function satisfies a system of bilinear q-difference equations. These bilinear equations are translated to the language of wave functions, which turn out to satisfy a system of linear q-difference equations. These linear q-difference equations are used to formulate the Lax for...
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Using the determinant representation of gauge transformation operator, we have shown that the general form of τ function of the q-KP hierarchy is a q-deformed generalized Wronskian, which includes the q-deformed Wronskian as a special case. On the basis of these, we study the q-deformed constrained KP (q-cKP) hierarchy, i.e. l-constraints of q-KP hierarchy. Similar to the ordinary constrained K...
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ژورنال
عنوان ژورنال: Letters in Mathematical Physics
سال: 2005
ISSN: 0377-9017,1573-0530
DOI: 10.1007/s11005-005-6782-5