Kai Tian, Associate Professor, School of Science, China University of Mining and Technology, Beijing

Xiangke Chang, Associate Professor

A super modified Korteweg-de Vries equation: nonlocal symmetry and Darboux transformation

14:30-15:10 November 5(Saturday), N208

For a super modified Korteweg-de Vries (mKdV) equation, nonlocal symmetries quadratically depending on eigenfunctions of linear spectral problems are constructed by applying Hamiltonian operators to gradients of spectral parameters, and prolonged to an enlarged system. A finite symmetry transformation is generated, and produces non-trivial solutions, as well as a Bäcklund transformation. A Darboux transformation is established for the super mKdV equation. This is a joint work with Dr. Nianhua Li and Hanyu Zhou.