Fredholm determinants and Z n -mKdV/Z n -sinh-Gordon hierarchies
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Chuanzhong Li
and
Wenna Liu
Abstract
The general Fredholm determinants have a close connection with integrable systems. Inspired by the connection between Fredholm determinants and mKdV/sinh-Gordon hierarchies, we construct a Z n -Fredholm determinant and show how the Z n -Fredholm determinants can be governed by Z n -mKdV/Z n -sinh-Gordon hierarchies.
Funding source: National Natural Science Foundation of China
Award Identifier / Grant number: 12071237
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Author contribution: All the authors have accepted responsibility for the entire content of this submitted manuscript and approved submission.
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Research funding: Chuanzhong Li is supported by the National Natural Science Foundation of China under Grant No. 12071237.
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Conflict of interest statement: The authors declare no conflicts of interest regarding this article.
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Articles in the same Issue
- Frontmatter
- Original Research Articles
- Image-based 3D reconstruction precision using a camera mounted on a robot arm
- Switched-line network with digital phase shifter
- M-lump waves and their interactions with multi-soliton solutions for the (3 + 1)-dimensional Jimbo–Miwa equation
- Optimal control for a class of fractional order neutral evolution equations
- Perceptual evaluation for Zhangpu paper-cut patterns by using improved GWO-BP neural network
- Two new iterative schemes to approximate the fixed points for mappings
- Ulam’s type stability of impulsive delay integrodifferential equations in Banach spaces
- Generalization method of generating the continuous nested distributions
- Wellposedness of impulsive functional abstract second-order differential equations with state-dependent delay
- Numerical study of heat and mass transfer on the pulsatile flow of blood under atherosclerotic condition
- Dynamic propagation behaviors of pure mode I crack under stress wave loading by caustics
- Numerical simulation of buoyancy-induced heat transfer and entropy generation in 3D C-shaped cavity filled with CNT–Al2O3/water hybrid nanofluid
- On coupled system of nonlinear Ψ-Hilfer hybrid fractional differential equations
- Hellinger–Reissner variational principle for a class of specified stress problems
- Viscous dissipation effect on steady natural convection Couette flow with convective boundary condition
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