高维非线性Klein-Gordon方程某些特解之间的变换关系

TRANSFORMATION RELATIONS AMONG SOME SPECIAL SOLUTIONS OF HIGH-DIMESIONAL NONLINEAR KLEIN-GORDON EQUATIONS

本文指出,在一定的限制条件下,不同非线性Klein-Gordon方程的某些特解之间存在一类不受维度及模型的可积性限制的特殊变换。证明了这类交换可由解一个常微分方程甚至纯代数地得到。

Under some constrained conditions, it is pointed out that there exists a specialtype of transformation among some special solutions of different nonlinear Klein-Gordon equations in any dimensions irrespective of the complete integrability ofthe model. This type of transformation can be obtained by solving an ordinarydifferential equation or by using some pure algebraic relations.