Generalized Tu Formula and Hamilton Structures of Fractional Soliton Equation Hierarchy

TL;DR

This paper introduces a fractional Tu formula using modified Riemann-Liouville derivatives to explore Hamilton structures in fractional soliton equations, extending classical results to fractional calculus.

Contribution

It develops a generalized fractional Tu formula and Hamilton hierarchy framework for fractional soliton equations, bridging fractional and classical integrable systems.

Findings

Derived a fractional Tu formula based on modified Riemann-Liouville derivatives.

Established a generalized Hamilton structure for fractional soliton equations.

Results reduce to classical Hamilton hierarchies in the integer-order limit.

Abstract

With the modified Riemann-Liouville fractional derivative, a fractional Tu formula is presented to investigate generalized Hamilton structure of fractional soliton equations. The obtained results can be reduced to the classical Hamilton hierachy of ordinary calculus.