摘要
By a transformation between a Painlevé integrable variable coefficient KdV equation and the standard KdV equation, we derive the Lax pair and infinitely many conservation laws of the variable coefficient KdV equation from the counterparts of the KdV equation.
By a transformation between a Painlevé integrable variable coefficient KdV equation and the standard KdV equation, we derive the Lax pair and infinitely many conservation laws of the variable coefficient KdV equation from the counterparts of the KdV equation.
基金
Supported by the National Natural Science Foundation of China under Grant Nos 10371070 and 10671121, the Foundation of Shanghai Education Committee for Shanghai Prospective Excellent Young Teachers, and Magnolia Grant of Shanghai Sciences and Technology Committee. The author is grateful to the anonymous referees for their invaluable comments. The author is also grateful to Professor Li Yi-shen for his kind visit to Shanghai University and invaluable discussions on variable coefficient evolution equations.
