Lax representations and zero-curvature representations by the Kronecker product
نویسندگان
چکیده
منابع مشابه
v 1 1 8 O ct 1 99 6 Lax Representations and Zero Curvature Representations by Kronecker Product
It is showed that Kronecker product can be applied to construct not only new Lax representations but also new zero curvature representations of integrable models. Meantime a different characteristic between continuous and discrete zero curvature equations is pointed out. Lax representation and zero curvature representation play an important role in studying nonlinear integrable models in theore...
متن کاملSubrepresentations of Kronecker Representations
Translated into the language of representations of quivers, a challenge in matrix pencil theory is to find sufficient and necessary conditions for a Kronecker representation to be a subfactor of another Kronecker representation in terms of their Kronecker invariants. The problem is reduced to a numerical criterion for a Kronecker representation to be a subrepresentation of another Kronecker rep...
متن کاملIrreducibility of the tensor product of Albeverio's representations of the Braid groups $B_3$ and $B_4$
We consider Albeverio's linear representations of the braid groups $B_3$ and $B_4$. We specialize the indeterminates used in defining these representations to non zero complex numbers. We then consider the tensor products of the representations of $B_3$ and the tensor products of those of $B_4$. We then determine necessary and sufficient conditions that guarantee the irreducibility of th...
متن کاملCyclic bases of zero-curvature representations: further examples
The paper continues nlin.SI/0212019 by giving three more examples of using cyclic bases of zero-curvature representations in studies of relation between strong Lax pairs and recursion operators.
متن کاملReducibility of zero curvature representations with application to recursion operators
We present a criterion for reducibility of zero curvature representations to a solvable subalgebra, hence to a chain of conservation laws. Our results are applied to inversion of recursion operators.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: International Journal of Theoretical Physics
سال: 1997
ISSN: 0020-7748,1572-9575
DOI: 10.1007/bf02435889