Dr Sarah Lobb

F07 - Carslaw Building
The University of Sydney

Telephone 9351 3879
Fax 9351 4534

Research interests

I am a member of the Integrable Systems group in the Applied Mathematics department.

Integrable systems are equations, or collections of equations, which, even though they can be very complicated, behave in a particularly nice and regular way. It may seem that they are a very special class of equations, but in fact they pop up time after time in real-life situations, especially in physics (one of the most well-known examples appears in the study of shallow water waves), but also in economics and numerical analysis. I study in particular discrete integrable systems, i.e., integrable systems that live on grids or lattices.

My current research is to apply the tools of geometry in order to better understand the structure of discrete integrable systems, and to develop the theory of their associated Lagrangian structures.

Selected publications

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Journals

  • Atkinson, J., Lobb, S., Nijhoff, F. (2012). An integrable multicomponent quad-equation and its Lagrangian formulation. Theoretical and Mathematical Physics, 173(3), 1644-1653. [More Information]
  • Yoo-Kong, S., Lobb, S., Nijhoff, F. (2011). Discrete-time Calogero-Moser system and Lagrangian 1-form structure. Journal of Physics A: Mathematical and Theoretical, 44(36), 365203-39 Pages. [More Information]
  • Yoo-King, S., Lobb, S., Nijhoff, F. (2011). Discrete-time Calogero-Moser system and Lagrangian 1-form structure. Journal of Physics A: Mathematical and Theoretical, 44(36), 1-39. [More Information]
  • Xenitidis, P., Nijhoff, F., Lobb, S. (2011). On the Lagrangian formulation of multidimensionally consistent systems. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Science, 467, 1-23.
  • Xenitidis, P., Nijhoff, F., Lobb, S. (2011). On the Lagrangian formulation of multidimensionally consistent systems. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Science, 467(2135), 3295-3317. [More Information]
  • Lobb, S., Nijhoff, F. (2010). Lagrangian multiform structure for the lattice Gel’fand–Dikii hierarchy. Journal of Physics A: Mathematical and Theoretical, 43, 1-11.
  • Lobb, S., Nijhoff, F. (2010). Lagrangian multiform structure for the lattice Gel’fand-Dikii hierarchy. Journal of Physics A: Mathematical and Theoretical, 43, 072003-11 pages.
  • Lobb, S., Nijhoff, F., Quispel, G. (2009). Lagrangian multiform structure for the lattice KP system. Journal of Physics A: Mathematical and Theoretical, 42, 1-11.
  • Lobb, S., Nijhoff, F. (2009). Lagrangian Multiforms and Multidimensional Consistency. Journal of Physics A: Mathematical and Theoretical, 42(45), 1-18. [More Information]

2012

  • Atkinson, J., Lobb, S., Nijhoff, F. (2012). An integrable multicomponent quad-equation and its Lagrangian formulation. Theoretical and Mathematical Physics, 173(3), 1644-1653. [More Information]

2011

  • Yoo-Kong, S., Lobb, S., Nijhoff, F. (2011). Discrete-time Calogero-Moser system and Lagrangian 1-form structure. Journal of Physics A: Mathematical and Theoretical, 44(36), 365203-39 Pages. [More Information]
  • Yoo-King, S., Lobb, S., Nijhoff, F. (2011). Discrete-time Calogero-Moser system and Lagrangian 1-form structure. Journal of Physics A: Mathematical and Theoretical, 44(36), 1-39. [More Information]
  • Xenitidis, P., Nijhoff, F., Lobb, S. (2011). On the Lagrangian formulation of multidimensionally consistent systems. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Science, 467, 1-23.
  • Xenitidis, P., Nijhoff, F., Lobb, S. (2011). On the Lagrangian formulation of multidimensionally consistent systems. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Science, 467(2135), 3295-3317. [More Information]

2010

  • Lobb, S., Nijhoff, F. (2010). Lagrangian multiform structure for the lattice Gel’fand–Dikii hierarchy. Journal of Physics A: Mathematical and Theoretical, 43, 1-11.
  • Lobb, S., Nijhoff, F. (2010). Lagrangian multiform structure for the lattice Gel’fand-Dikii hierarchy. Journal of Physics A: Mathematical and Theoretical, 43, 072003-11 pages.

2009

  • Lobb, S., Nijhoff, F., Quispel, G. (2009). Lagrangian multiform structure for the lattice KP system. Journal of Physics A: Mathematical and Theoretical, 42, 1-11.
  • Lobb, S., Nijhoff, F. (2009). Lagrangian Multiforms and Multidimensional Consistency. Journal of Physics A: Mathematical and Theoretical, 42(45), 1-18. [More Information]

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