A HIERARCHY OF SOLITON EQUATIONS ASSOCIATED WITH A HIGHER-DIMENSIONAL LOOP ALGEBRA AND ITS TRI-HAMILTONIAN STRUCTURE.

Autor: Yufeng Zhang, Yan Li
Předmět:
Zdroj: Modern Physics Letters B; 7/30/2008, Vol. 22 Issue 19, p1837-1850, 14p
Abstrakt: A new higher-dimensional loop algebra is given for which a Lax isospectral problem is set up whose compatibility condition gives rise to a Liouville integrable soliton hierarchy along with eight-component potential functions. Specially, the hierarchy of evolution equations has a tri-Hamiltonian structure obtained by the trace identity. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index