Nonisospectral scattering problems and similarity reductions

作者：

Highlights：

• Mappings between nonisospectral and isospectral scattering problems.

• Connection between two methods of deriving Painlevé hierarchies is explored.

• Korteweg–de Vries and dispersive water wave cases are considered.

摘要

•Mappings between nonisospectral and isospectral scattering problems.•Connection between two methods of deriving Painlevé hierarchies is explored.•Korteweg–de Vries and dispersive water wave cases are considered.

论文关键词：Korteweg–de Vries hierarchy,Dispersive water wave hierarchy,Nonisospectral scattering problems,Similarity reductions,Painlevé hierarchies

论文评审过程：Available online 18 April 2014.

论文官网地址：https://doi.org/10.1016/j.amc.2014.03.107