Abstract
Abstract
By applying Hamiltonian operators to gradients of spectral parameters, nonlocal symmetries quadratically depending on eigenfunctions of linear spectral problems are constructed for super bi-Hamiltonian equations including a super modified Korteweg–de Vries (KdV) equation, a super K(−1, −2) equation, Kupershmidt’s super KdV equation and a super Ablowitz–Kaup–Newell–Segur system. In each example, the nonlocal symmetry is prolonged to an enlarged system, and generates a finite symmetry transformation. On this basis, a non-trivial solution, as well as a Bäcklund transformation, is established for the each super equation under consideration.
Funder
National Natural Science Foundation of China
Yue Qi Young Scholar Project, China University of Mining and Technology, Beijing
Subject
General Physics and Astronomy,Mathematical Physics,Modeling and Simulation,Statistics and Probability,Statistical and Nonlinear Physics
Cited by
4 articles.
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