Exact Solutions to Nonlinear Equations andSystems of Equations of General Form inMathematical Physics

摘要

The paper gives an overview of recent results in exact solutions to nonlinear equationsand system of equations of general form with functional arbitrariness. Special attention is paid toequations that arise in heat and mass transfer, wave theory, and mathematical biology. The solutionsconsidered below have been obtained, for the most part, with the method of generalized separationof variables and that of functional separation of variables. Some of the solutions presented are new.