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Multi-quadratic quad equations: integrable cases from a factorised-discriminant hypothesis
Multi-quadratic quad equations integrable cases factorised-discriminant hypothesis Exactly Solvable and Integrable Systems
2012/4/26
We give integrable quad equations which are multi-quadratic (degree-two) counterparts of the well-known multi-affine (degree-one) equations classified by Adler, Bobenko and Suris (ABS). These multi-qu...
A New Hierarchy of Lax and Liouville Integrable Evolution Equations Associated with an Isospectral Problem in the Loop Algebra Ã2
Isospectral problem loop algebra Lax integrable Liouville integrable Hamiltonian structure
2007/12/10
摘要 In this paper, an isospectral problem with five potentials is investigated in loop algebra $\tilde{A}_2$ such that a new hierarchy of evolution equations with five arbitrary functions is obtained...