On the Full-Discrete Extended Generalised q-Difference Toda System
-
Chuanzhong Li
and
Anni Meng
Abstract
In this paper, we construct a full-discrete integrable difference equation which is a full-discretisation of the generalised q-Toda equation. Meanwhile its soliton solutions are constructed to show its integrable property. Further the Lax pairs of an extended generalised full-discrete q-Toda hierarchy are also constructed. To show the integrability, the bi-Hamiltonian structure and tau symmetry of the extended full-discrete generalised q-Toda hierarchy are given.
Acknowledgements
Chuanzhong Li is supported by the National Natural Science Foundation of China under Grant No. 11571192 and K. C. Wong Magna Fund in Ningbo University.
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Articles in the same Issue
- Frontmatter
- Electric Spark Discharges in Water. Low-energy Nuclear Transmutations and Light Leptonic Magnetic Monopoles in an Extended Standard Model
- On the Full-Discrete Extended Generalised q-Difference Toda System
- On Certain Topological Indices of Boron Triangular Nanotubes
- Lorentz Atom Revisited by Solving the Abraham–Lorentz Equation of Motion
- A New Homotopy Perturbation Scheme for Solving Singular Boundary Value Problems Arising in Various Physical Models
- Bright-Dark Mixed N-Soliton Solution of Two-Dimensional Multicomponent Maccari System
- Modelling of Electrodynamic Phenomena in Slowly Moving Media
- Exploration of Characteristics Governing Dynamics of Whirlwinds: Application to Dust Devils
- Vector Dark Solitons for a Coupled Nonlinear Schrödinger System with Variable Coefficients in an Inhomogeneous Optical Fibre
Articles in the same Issue
- Frontmatter
- Electric Spark Discharges in Water. Low-energy Nuclear Transmutations and Light Leptonic Magnetic Monopoles in an Extended Standard Model
- On the Full-Discrete Extended Generalised q-Difference Toda System
- On Certain Topological Indices of Boron Triangular Nanotubes
- Lorentz Atom Revisited by Solving the Abraham–Lorentz Equation of Motion
- A New Homotopy Perturbation Scheme for Solving Singular Boundary Value Problems Arising in Various Physical Models
- Bright-Dark Mixed N-Soliton Solution of Two-Dimensional Multicomponent Maccari System
- Modelling of Electrodynamic Phenomena in Slowly Moving Media
- Exploration of Characteristics Governing Dynamics of Whirlwinds: Application to Dust Devils
- Vector Dark Solitons for a Coupled Nonlinear Schrödinger System with Variable Coefficients in an Inhomogeneous Optical Fibre
