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Two definitions of fake Lax pairs

AIP Conference Proceedings, 2015
Two 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
openaire   +1 more source

Separability and Lax pairs for Hénon–Heiles system

Journal of Mathematical Physics, 1993
The 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.
openaire   +2 more sources

An explicit symmetry constraint for the Lax pairs and the adjoint Lax pairs of AKNS systems

Physics Letters A, 1994
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ma, Wenxiu, Strampp, Walter
openaire   +2 more sources

A note on the Lax pairs for Painlevéequations

Journal of Physics A: Mathematical and General, 1999
The 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.
openaire   +2 more sources

Constraint of discrete Lax equations with some special types of Lax pairs

2011 International Conference on Multimedia Technology, 2011
In 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
openaire   +1 more source

THE LAX PAIR OF A GENERALIZED THIRRING MODEL

International Journal of Modern Physics A, 1999
The 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.
openaire   +1 more source

Integrative oncology: Addressing the global challenges of cancer prevention and treatment

Ca-A Cancer Journal for Clinicians, 2022
Jun J Mao,, Msce   +2 more
exaly  

A Primer on Lax Pairs

2020
L.M. Bates, R.C. Churchill
openaire   +1 more source

Obesity and adverse breast cancer risk and outcome: Mechanistic insights and strategies for intervention

Ca-A Cancer Journal for Clinicians, 2017
Cynthia Morata-Tarifa   +1 more
exaly  

Multidisciplinary standards of care and recent progress in pancreatic ductal adenocarcinoma

Ca-A Cancer Journal for Clinicians, 2020
Aaron J Grossberg   +2 more
exaly  

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