Auto-Baumlcklund transformations and integrability of ordinary and partial differential equations

作者：Conde Juan M^*; Gordoa Pilar R; Pickering Andrew

来源：Journal of Mathematical Physics, 2010, 51(3): 033512.

DOI：10.1063/1.3321637

• partial differential equations
• transforms

We introduce a partial differential equation whose structure, in many respects, mimics that of the second Painleveacute equation. For this equation we give auto-Baumlcklund transformations of both ordinary differential equation and partial differential equation types. Our discussion is sufficiently generally phrased to allow us to draw some general conclusions about the connection between auto-Baumlcklund transformations and the integrability of ordinary and partial differential equations.

• 出版日期2010-3