A (3+1)-dimensional Painleve integrable model obtained by deformation

作者：Yu J^*; Lou ZM

来源：Mathematical Methods in the Applied Sciences, 2002, 25(2): 141-148.

DOI：10.1002/mma.281

• deformation
• integrable model
• Painleve property

To find some non-trivial higher-dimensional integrable models (especially in (3+1) dimensions) is one of the most important problems in non-linear physics. An efficient deformation method to obtain higher-dimensional integrable models is proposed. Starting from (2+1)-dimensional linear wave equation, a (3+1)-dimensional non-trivial non-linear equation is obtained by using a non-invertible deformation relation. Further, the Painleve integrability of the resulting model is also proved.

• 出版日期2002-1-25
• 单位绍兴文理学院