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Two definitions of fake Lax pairs
AIP Conference Proceedings, 2015Two definitions fake Lax pairs are provided. The two definitions are complementary, one involves finding a gauge transformation which can be used to remove the associated nonlinear system’s dependent variable(s) from a fake Lax pair. The second definition is related to excess degrees of freedom that exist in fake Lax pairs.
Samuel Butler, Mike Hay
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Separability and Lax pairs for Hénon–Heiles system
Journal of Mathematical Physics, 1993The Hamiltonian system corresponding to the (generalized) Hénon–Heiles Hamiltonian H= 1/2(px2+py2)+1/2Ax2+1/2By2+x2y+εy3 is known to be integrable in the following three cases: (A=B, ε=1/3); (ε=2); (B=16A, ε=16/3). In the first two the system has been integrated by making use of genus one and genus two theta functions.
Ravoson, V., Gavrilov, L., Caboz, R.
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An explicit symmetry constraint for the Lax pairs and the adjoint Lax pairs of AKNS systems
Physics Letters A, 1994zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ma, Wenxiu, Strampp, Walter
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A note on the Lax pairs for Painlevéequations
Journal of Physics A: Mathematical and General, 1999The Painlevé equations PI-PVI are six genuine nonlinear second-order differential equations such that the only movable singularities of their solutions are poles. By definition, movable singular are points which change when the initial conditions are changed.
Kapaev, A. A., Hubert, E.
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Constraint of discrete Lax equations with some special types of Lax pairs
2011 International Conference on Multimedia Technology, 2011In this paper, firstly we deduce the constraint of discrete Lax equations with some special forms of Lax pairs. Then to illustrate the validity of the method, we construct two discrete Lax equations and successfully obtain their constraints by the method.
null Nianhua Li +3 more
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THE LAX PAIR OF A GENERALIZED THIRRING MODEL
International Journal of Modern Physics A, 1999The system of coupled nonlinear partial differential equations called the Massive Thirring Model is reviewed. In particular it is analyzed in the chiral fermion version, which is extended by introducing a local gauge symmetry in place of the usual global symmetry. This is done by minimally coupling the fermions with a SU L(2) ⊗ SU R(2) gauge potential.
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Integrative oncology: Addressing the global challenges of cancer prevention and treatment
Ca-A Cancer Journal for Clinicians, 2022Jun J Mao,, Msce +2 more
exaly
Multidisciplinary standards of care and recent progress in pancreatic ductal adenocarcinoma
Ca-A Cancer Journal for Clinicians, 2020Aaron J Grossberg +2 more
exaly

