报告主题：Continuous symmetries of integrable nonlocal differential equations and similarity reductions
报告人：彭林玉 副教授 （日本早稻田大学）
报告时间：2019年4月19日（周五）14：00
报告地点：校本部G508
邀请人：张成
主办部门：太阳成集团tyc33455数学系
报告摘要：Continuous symmetries are essential for the solvability and integrability of differential equations. In this talk, a fundamental introduction to symmetry methods for differential equations and their extensions to nonlocal differential equations will be given, in particular similarity reductions for the nonlocal mKdV equation and nonlocal nonlinear Schrödinger equation. Furthermore, local transformations are defined to connect nonlocal differential equations with differential-difference equations, allowing one to analyze nonlocal equations through the existing geometric and algebraic theories for differential-difference equations.
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