A Few Notes on Lax Integrability, Integrable Couplings and Computing Formula of the Constant γ

Autor:	T.T. Guo, B.L. Feng, F.K. Guo
Rok vydání:	2012
Předmět:	Identity (mathematics) Current (mathematics) Integrable system Simple (abstract algebra) Mechanical Engineering Lax pair Trace identity Constant (mathematics) Hamiltonian (control theory) Civil and Structural Engineering Mathematics Mathematical physics
Zdroj:	Journal of Applied Nonlinear Dynamics. 1:401-406
ISSN:	2164-6473 2164-6457
DOI:	10.5890/jand.2012.06.003
Popis:	We point out in the paper that the current available definition on Lax integrability is necessary to be modified; the existed method for generating integrable couplings by the approach “original equations + symmetric equations” is wrong. Besides, a simple and efficient formula for calculating the constant γ appearing in the trace identity and the quadratic-form identity is proposed, which is universal for finding Hamiltonian structures of integrable dynamics.
Databáze:	OpenAIRE
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