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| On the Transformations of the Potentials, Integrable Evolution Equations and Backhand Transformations |
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Citation： |
Zeng Yunbo,Chen Dengyuan,Li Yishen.On the Transformations of the Potentials, Integrable Evolution Equations and Backhand Transformations[J].Chinese Annals of Mathematics B,1985,6(4):385~394 |
| Page view： 703
Net amount： 685 |
Authors： |
Zeng Yunbo; Chen Dengyuan;Li Yishen |
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| Abstract： |
The generalization of the AKNS method, Calogero method and Konopelchenko method is given in three respects. First, the new fundamental relations associated with the matrix spectral problem and a new explicit expression related to the matrixes В and G which are contained in the transformations of the transition matrixes are obtained. Then the wide classes of the integrable evolution equations are conveniently derived without improperly assuming B=C. Finally, an important property of the operator LA is showed, the conditions connected with the temporal half of the Baeklund transformations and the new simple expressions of the integrals of motion are deduced. |
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