Results 241 to 250 of about 603,795 (280)

Proximal and Distal Factors Associated With Obesity in Childhood: An Exploratory Structural Equation Model. [PDF]

Obes Sci Pract
Skelton JA, Rhodes ET, Hampl SE, Eneli I, Ip EH, SIT Study Research Group.   +5 more
europepmc   +1 more source

3D Segmentation of Multi-Contrast Cardiac Magnetic Resonances With Topological Correction and Synthetic Data Augmentation

Rosales RM, Doblaré M, Pueyo E.
europepmc   +1 more source

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

Physics Letters, Section A: General, Atomic and Solid State Physics, 1994
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wen-Xiu Ma
exaly   +3 more sources

Lax pairs galore

Journal of Mathematical Physics, 1991
A formula that yields an (apparently—but only apparently—nontrivial) Lax pair for any nonlinear evolution PDE in 1+1 dimensions possessing a local conservation law is presented. Several examples are exhibited.
CALOGERO F., NUCCI, Maria Clara
openaire   +5 more sources

On the Lax Pairs of the Symmetric Painlevé Equations

Studies in Applied Mathematics, 2006
The symmetric forms of the Painlevé equations are a sequence of nonlinear dynamical systems in N+ 1 variables that admit the action of an extended affine Weyl group of type , as shown by Noumi and Yamada. They are equivalent to the periodic dressing chains studied by Veselov and Shabat, and by Adler. In this paper, a direct derivation of the symmetries
Sen, A., Hone, A. N. W., Clarkson, P. A.
openaire   +2 more sources

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.
exaly   +3 more sources

Lax Pairs for Four-Wave Interaction Systems

Journal of the Physical Society of Japan, 1996
Summary: The Lax formulation for four-wave interaction systems is proposed. Integrable four-wave interaction models are derived from a compatibility condition between two linear equations. As simple examples, new four-wave interaction equations are explicitly given.
Miki Wadati, Takayuki Tsuchida
exaly   +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.
Biao Li, Nianhua Li, Yuqi Li
exaly   +2 more sources

A Primer on Lax Pairs

2020
L.M. Bates, R.C. Churchill
exaly   +2 more sources

Discrete Lax pairs, reductions and hierarchies [PDF]

, 2008
The term `Lax pair' refers to linear systems (of various types) that are related to nonlinear equations through a compatibility condition. If a nonlinear equation possesses a Lax pair, then the Lax pair may be used to gather information about the behaviour of the solutions to the nonlinear equation.
Hay, Mike, Mike Hay
openaire   +2 more sources