scholarly journals Dispersionless BKP Hierarchy and Quadrant Löwner Equation

2014 ◽  
Author(s):  
Takashi Takebe
Keyword(s):  
Bkp Hierarchy ◽  
Löwner Equation

Singular and Tangent Slit Solutions to the Löwner Equation

2009 ◽  
pp. 455-463 ◽  
Author(s):  
Dmitri Prokhorov ◽  
Alexander Vasil’ev
Keyword(s):  
Löwner Equation

Some results of the BKP hierarchy as the Kupershmidt reduction of the modified KP hierarchy

2020 ◽  
pp. 2050433
Author(s):  
Yi Yang ◽  
Xiaoli Wang ◽  
Jipeng Cheng
Keyword(s):  
Gauge Transformation ◽  
Wave Functions ◽  
Kp Hierarchy ◽  
Gauge Transformations ◽  
Bkp Hierarchy

In this paper, the BKP hierarchy is viewed as the Kupershmidt reduction of the modified KP hierarchy. Then based upon this fact, the gauge transformation of the BKP hierarchy are obtained again from the corresponding results of the modified KP hierarchy. Also the constrained BKP hierarchy is constructed from the constrained modified KP hierarchy, and the corresponding gauge transformations are investigated. Particularly, it is found that there is a new kind of gauge transformations generated by the wave functions in the constrained BKP hierarchy.

An analog of the Löwner equation for mappings of strips

2007 ◽  
Vol 51 (8) ◽  
pp. 74-77 ◽  
Author(s):  
D. A. Dubovikov
Keyword(s):  
Löwner Equation
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