Recursion operator and dispersionless rational Lax representation

We consider equations arising from dispersionless rational Lax representations. A general method to construct recursion operators for such equations is given. Several examples are given, including a degenerate bi-Hamiltonian system with a recursion operator
Physics Letters A


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The solutions of complex partial differential equations of order four are obtained by using polynomial differential operators. A correspondence principle is also derived for the solutions of two different differential equations, imposing conditions on the coefficients.
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KÜÇÜKARSLAN, AYŞE; Ozdem, U.; Özpineci, Altuğ (2014-09-03)
We investigate the isovector axial vector and pseudoscalar form factors of Delta baryon by employing light-cone QCD sum rules. Numerical calculations show that the form factors can be well fitted by the exponential form. We make a comparison with the predictions of lattice QCD, chiral perturbation theory and quark model.
Asymptotic integration of second-order nonlinear differential equations via principal and nonprincipal solutions
Ertem, T.; Zafer, Ağacık (2013-02-01)
Let u and v denote respectively the principal and nonprincipal solutions of the second-order linear equation (p(t)x')' + q(t)x = 0 defined on some half-line of the form [t(*), infinity).
Nonlocal hydrodynamic type of equations
Gürses, Metin; Pekcan, Asli; Zheltukhın, Kostyantyn (Elsevier BV, 2020-06-01)
We show that the integrable equations of hydrodynamic type admit nonlocal reductions. We first construct such reductions for a general Lax equation and then give several examples. The reduced nonlocal equations are of hydrodynamic type and integrable. They admit Lax representations and hence possess infinitely many conserved quantities.
Kalkanlı, AK (Springer Science and Business Media LLC, 1987-11)
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Citation Formats
K. Zheltukhın, “Recursion operator and dispersionless rational Lax representation,” Physics Letters A, pp. 402–407, 2002, Accessed: 00, 2020. [Online]. Available: