Appell’s lemma and conservation laws of KdV equation
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摘要
An alternative method to construct a class of conservation laws of the KdV equation based on the classical Appell’s lemma and the trace formulas of Deift–Trubowitz type is studied. A new type of infinite sequence of conservation laws whose local densities cannot be expressed in terms of differential polynomials is constructed.
论文关键词:Appell’s lemma,Conservation laws,KdV equation,Trace formulas of Deift–Trubowitz type
论文评审过程:Received 24 November 2007, Available online 27 February 2009.
论文官网地址:https://doi.org/10.1016/j.cam.2009.02.076