Repeated application of the recursion operator for a new hierarchy of negative-order integrable KdV equations
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DOI: 10.1080/17455030.2018.1506595
Abstract: ABSTRACT In this work we use the repeated application of the recursion operator to establish a new hierarchy of negative-order integrable KdV equations of higher orders. The concept of the inverse recursion operator allows us… read more here.
Keywords: recursion operator; new hierarchy; repeated application; recursion ... See more keywords
Recursion operator of integrable lattices associated with Cauchy bi-orthogonal polynomials
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DOI: 10.1088/1402-4896/adbb2e
Abstract: We construct a recursion operator for a family of discrete integrable systems associated with Cauchy bi-orthogonal polynomials by utilizing its Lax representation. Furthermore, we explicitly derive the bi-Hamiltonian structures through a factorization of the recursion… read more here.
Keywords: recursion; associated cauchy; orthogonal polynomials; recursion operator ... See more keywords