标度、自相似性和叠加
Scaling, Self-similarity and Superposition
摘要：
介绍了一类具有幂律非线性项的热传导方程两个自相似解的非线性叠加的新方法。它示出的叠加状态的边界条件如何与自相似性冲突，呈现非线性叠加状态是一个非精确解。有人认为，非线性耦合的规模的存在，使叠加在线性情况下可以给出一个精确的解决方案。
英文摘要：
A novel procedure for the nonlinear superposition of two self-similar solutions of the heat conduction equation with power-law nonlinearity is introduced. It is shown how the boundary conditions of the superposed state conflicts with self-similarity, rendering the nonlinearly superposed state to be a non-exact solution. It is argued that the nonlinearity couples with the presence of the scale so that the superposition in the linear case can give an exact solution.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
