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Tri-integrable Couplings by Matrix Loop Algebras
-
Wen-Xiu Ma
,
Jinghan Meng
Veröffentlicht/Copyright:
28. August 2013
Abstract
We create a class of non-semisimple matrix loop algebras, and use the associated zero curvature equations to construct tri-integrable couplings. An application is made for the AKNS equations as an illustrative example. Hamiltonian structures of the resulting tri-integrable couplings are furnished by the variational identities over the presented matrix loop algebras, which implies the commutativity of the sequences of symmetries and conserved functionals.
Received: 2013-01-23
Accepted: 2013-07-06
Published Online: 2013-08-28
Published in Print: 2013-10-25
©[2013] by Walter de Gruyter Berlin Boston
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Schlagwörter für diesen Artikel
integrable coupling;
non-semisimple Lie algebra;
Hamiltonian structure
Artikel in diesem Heft
- Masthead
- Mathematical Models for Erosion and the Optimal Transportation of Sediment
- Comments on “He's Homotopy Perturbation Method for Calculating Adomian Polynomials”
- Biomechanical Analysis of Eyring Prandtl Fluid Model for Blood Flow in Stenosed Arteries
- Consensus Recovery from Intentional Attacks in Directed Nonlinear Multi-agent Systems
- Exp-function Method for Fractional Differential Equations
- Solving Nonlinear Problems with Singular Initial Conditions Using A Perturbed Scalar Homotopy Method
- Tri-integrable Couplings by Matrix Loop Algebras
- Extended Reductive Perturbation Method and Its Relation to the Re-normalization Method
- Neural Network Approaches to Data Fusion Calculation and Correction in Wireless Sensor Network – A Case Study Comparison between BPN, RBFN and GRNN
- A Catfish Effect Inspired Harmony Search Algorithm for Optimization
- An Exact, Fully Nonlinear Solution of the Poisson-Boltzmann Equation with Anti-symmetric Electric Potential Profiles
- Study on Nonlinear Oscillations of Gear Systems with Parametric Excitation Solved by Homotopy Analysis Method
