scholarly journals Extended ⋁-systems and trigonometric solutions to the WDVV equations

2021 ◽  
Vol 62 (2) ◽  
pp. 022301
Author(s):  
Richard Stedman ◽  
Ian A. B. Strachan
Keyword(s):  
Wdvv Equations ◽  
Extended Systems

scholarly journals Second-order integrable Lagrangians and WDVV equations

2021 ◽  
Vol 111 (2) ◽  
Author(s):  
E. V. Ferapontov ◽  
M. V. Pavlov ◽  
Lingling Xue
Keyword(s):  
Lagrangian Density ◽  
Theta Functions ◽  
Second Order ◽  
Elementary Functions ◽  
Lagrange Equations ◽  
Wdvv Equations ◽  
Integrability Conditions ◽  
Jacobi Theta Functions

AbstractWe investigate the integrability of Euler–Lagrange equations associated with 2D second-order Lagrangians of the form $$\begin{aligned} \int f(u_{xx},u_{xy},u_{yy})\ \mathrm{d}x\mathrm{d}y. \end{aligned}$$ ∫ f ( u xx , u xy , u yy ) d x d y . By deriving integrability conditions for the Lagrangian density f, examples of integrable Lagrangians expressible via elementary functions, Jacobi theta functions and dilogarithms are constructed. A link of second-order integrable Lagrangians to WDVV equations is established. Generalisations to 3D second-order integrable Lagrangians are also discussed.

From one-electron to correlated wave functions in extended systems: A valence-bond investigation

1989 ◽  
Vol 39 (7) ◽  
pp. 3274-3288 ◽  
Author(s):  
Marie-Bernadette Lepetit ◽  
Brahim Oujia ◽  
Jean-Paul Malrieu ◽  
Daniel Maynau
Keyword(s):  
Valence Bond ◽  
Wave Functions ◽  
Extended Systems

New Heptalenes Substituted with Extended ?-Systems

1997 ◽  
Vol 80 (1) ◽  
pp. 253-266 ◽  
Author(s):  
Sarah El Houar ◽  
Hans-J�rgen Hansen
Keyword(s):  
Extended Systems

Observation of Chaotic Attractor in Spatially Extended Systems: Coarse-Grained Dimension of Frozen Chaos

1999 ◽  
Vol 38 (Part 1, No. 6A) ◽  
pp. 3784-3792
Author(s):  
Donghak Choi ◽  
Nobuko Fuchikami ◽  
Eriko Hirokami ◽  
Shunya Ishioka ◽  
Masayoshi Naito
Keyword(s):  
Chaotic Attractor ◽  
Coarse Grained ◽  
Extended Systems ◽  
Spatially Extended ◽  
Spatially Extended Systems

scholarly journals Tunable Pinning of Burst Waves in Extended Systems with Discrete Sources

1998 ◽  
Vol 81 (24) ◽  
pp. 5453-5456 ◽  
Author(s):  
Igor Mitkov ◽  
Konstantin Kladko ◽  
John E. Pearson
Keyword(s):  
Extended Systems
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