Bosonic Super Liouville System: Lax Pair and Solution
Liu Zhao, Changzheng Qu
TL;DR
This paper investigates the bosonic super Liouville system, establishing its integrability through a Lax pair construction and analyzing solutions via Leznov-Saveliev methods, contributing to the understanding of its mathematical structure.
Contribution
The paper constructs a Lax pair for the bosonic super Liouville system and analyzes its solutions, demonstrating its integrability using prolongation and Leznov-Saveliev methods.
Findings
Lax pair constructed for the bosonic super Liouville system
Integrability of the system confirmed through Lax pair
Solutions obtained via Leznov-Saveliev analysis
Abstract
We study the bosonic super Liouville system which is a statistical transmutation of super Liouville system. Lax pair for the bosonic super Liouville system is constructed using prolongation method, ensuring the Lax integrability, and the solution to the equations of motion is also considered via Leznov-Saveliev analysis.
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