Nonlocal Symmetries and Generation of Solutions for Partial Differential Equations

We have constructed new formulae for generation of solutions for the nonlinear heat equation and for the Burgers equation that are based on linearizing nonlocal transformations and on nonlocal symmetries of linear equations. Found nonlocal symmetries and formulae of nonlocal nonlinear superposition...

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Bibliographic Details
Main Authors: Valentyn Tychynin, Olga Petrova, Olesya Tertyshnyk
Format: Article
Language:English
Published: National Academy of Science of Ukraine 2007-02-01
Series:Symmetry, Integrability and Geometry: Methods and Applications
Subjects:
Online Access:http://www.emis.de/journals/SIGMA/2007/019/