Constructing a Variable Coefficient Integrable Coupling Equation Hierarchy and its Hamiltonian Structure
-
Fajun Yu
and
Shuo Feng
Abstract
How to construct a variable coefficient integrable coupling equation hierarchy is an important problem. In this paper, we present new Lax pairs with some arbitrary functions and generate a variable coefficient integrable coupling of Ablowitz-Kaup-Newell-Segur hierarchy from a zero-curvature equation. Then the Hamiltonian structure of the variable coefficient coupling equation hierarchy is derived from the variational trace identity. It is also indicated that this method is an efficient and straightforward way to construct the variable coefficient integrable coupling equation hierarchy.
Acknowledgments
This work was supported by the Natural Science Foundation of Liaoning Province, China (grant no. 2015020029), and the project was supported by the National Natural Science Foundation of China (grant no. 11301349).
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Articles in the same Issue
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Articles in the same Issue
- Frontmatter
- Review Article
- The Strange (Hi)story of Particles and Waves
- Research Articles
- Optical Response of Mixed Molybdenum Dichalcogenides for Solar Cell Applications Using the Modified Becke–Johnson Potential
- A Numerical Study for the Relationship between Natural Manganese Dendrites and DLA Patterns
- Nonlocal Symmetry and Consistent Tanh Expansion Method for the Coupled Integrable Dispersionless Equation
- Soliton Solutions of a Generalised Nonlinear Schrödinger–Maxwell–Bloch System in the Erbium-Doped Optical Fibre
- Studies of the Local Distortions and the EPR Parameters for Cu2+ in xLi2O-(30–x)Na2O-69·5B2O Glasses
- Investigations of the EPR Parameters and Local Lattice Structure for the Rhombic Cu2+ Centre in TZSH Crystal
- Unsteady Mixed Bioconvection Flow of a Nanofluid Between Two Contracting or Expanding Rotating Discs
- Nonorthogonal Stagnation-point Flow of a Second-grade Fluid Past a Lubricated Surface
- Constructing a Variable Coefficient Integrable Coupling Equation Hierarchy and its Hamiltonian Structure
