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A New Nonlinear Integrable Couplings of Solioton Hierarchy and its Hamiltonian Structure with Kronecker Product
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Li Li
Published/Copyright:
November 5, 2013
Abstract
It is shown that the Kronecker product can be applied to construct new nonlinear integrable coupling system of soliton equation hierarchy in this paper. A direct application to the KN spectral problem leads to a novel KN soliton equation hierarchy of nonlinear integrable coupling system, which is different from any one obtained before. Furthermore, we present the Hamiltonian structures of nonlinear integrable couplings of KN hierarchy by using a pairs from special non-semisimple matrix Lie algebras and variational identities over the associated loop algebras. It is also indicated that the study of nonlinear integrable couplings using the Kronecker product is an efficient and straightforward method.
Keywords: nonlinear integrable coupling system; soliton hierarchy; Kronecker product; Hamiltonian structure
Received: 2013-6-10
Accepted: 2013-8-28
Published Online: 2013-11-5
Published in Print: 2013-12-16
©[2013] by Walter de Gruyter Berlin Boston
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Keywords for this article
nonlinear integrable coupling system;
soliton hierarchy;
Kronecker product;
Hamiltonian structure
Articles in the same Issue
- Masthead
- A New Model for Plastic-Viscoelastic Magnetohydrodynamic (MHD) Flow with Radiation Thermal Transfer
- New Exact Solutions for an Oldroyd-B Fluid with Fractional Derivatives: Stokes' First Problem
- A Modified Variational Iteration Method for Nonlinear Oscillators
- Behavioral Modeling of SNFS for Synthesizing Multi-Scroll Chaotic Attractors
- Solving a System of Linear and Nonlinear Fractional Partial Differential Equations Using Homotopy Perturbation Method
- On a Problem of Nonstationary 2D Motion of Micropolar Fluid in the Half-plane Subjected to a Uniform Magnetic Field when Normal Stresses and Tangential Velocities are Given on the Boundary
- Non-equilibrium Shock Structure Calculation with High-order Modified Navier–Stokes Equations
- A New Coupled Fractional Reduced Differential Transform Method for Solving Time Fractional Coupled KdV Equations
- A New Nonlinear Integrable Couplings of Solioton Hierarchy and its Hamiltonian Structure with Kronecker Product
- Control Volume Based Finite Element Method Study of Nano-fluid Natural Convection Heat Transfer in an Enclosure Between a Circular and a Sinusoidal Cylinder
- Hybrid Modulus-phase Synchronization of Hyperchaotic Complex Systems and its Application to Secure Communication
