Master symmetry and time dependent symmetries of the differential-difference KP equation
Farbod Khanizadeh
TL;DR
This paper explores the master symmetry of the differential-difference KP equation and demonstrates how it can generate time-dependent symmetries using an sl(2;C) representation.
Contribution
It introduces the master symmetry for the differential-difference KP equation and constructs time-dependent symmetries via an sl(2;C) algebraic framework.
Findings
Identified the master symmetry of the differential-difference KP equation.
Constructed generators of time-dependent symmetries using sl(2;C) representation.
Provided a method to generate symmetries from the master symmetry.
Abstract
We first obtain the master symmetry of the differential-difference KP equation.Then we show how this master symmetry, through sl(2;C)-representation of the equation, can construct generators of time dependent symmetries.
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