In this paper, we construct a new integrable equation called Mobius-Toda equation which is a generalization of q-Toda equation. Meanwhile its soliton solutions are constructed to show its integrable property. Further ...In this paper, we construct a new integrable equation called Mobius-Toda equation which is a generalization of q-Toda equation. Meanwhile its soliton solutions are constructed to show its integrable property. Further the Lax pairs of the Mobius-Toda equation and a whole integrable MSbius-Toda hierarchy are also constructed. To show the integrability, the bi-Hamiltonian structure and tau symmetry of the MSbius-Toda hierarchy are given and this leads to the existence of the tau function.展开更多
基金supported by the National Natural Science Foundation of China(11571192)the Natural Science Foundation of Ningbo(2015A610157)K.C.Wong Magna Fund in Ningbo University
文摘In this paper, we construct a new integrable equation called Mobius-Toda equation which is a generalization of q-Toda equation. Meanwhile its soliton solutions are constructed to show its integrable property. Further the Lax pairs of the Mobius-Toda equation and a whole integrable MSbius-Toda hierarchy are also constructed. To show the integrability, the bi-Hamiltonian structure and tau symmetry of the MSbius-Toda hierarchy are given and this leads to the existence of the tau function.
基金National Natural Science Foundation of China under Grant Nos.10371070 and 10671121the Foundation of Shanghai Education Committee for Shanghai Prospective Excellent Young Teachers,the Youth Foundation of Shanghai Education Committee,and Magnolia Grant of Shanghai Sciences and Technology Committee
文摘Some general formulas in the Sato theory related to the nonisospectral KP and mKP hierarchies are derived for simplifying calculations.
