Exact solutions of nonlinear PDE, nonlinear transformations and reduction nonlinear PDE to a quadrature

Yang Lei; Liu Jianbin; Yang Kongqing

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arXiv · nlin/0108029

Exact solutions of nonlinear PDE, nonlinear transformations and reduction nonlinear PDE to a quadrature

Yang Lei·Liu Jianbin·Yang Kongqing

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Abstract

A method to construct the exact solution of the PDE is presents, which combines the two kind methods(the nonlinear transformation and RQ(Reduction the PDE to a Quadrature problem) method).The nonlinear diffusion equation is chosen to illustrate the method and the exact solutions are obtained.

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Yang Lei, Liu Jianbin, Yang Kongqing. 2001-08-16. Exact solutions of nonlinear PDE, nonlinear transformations and reduction nonlinear PDE to a quadrature. https://arxiv.org/abs/nlin/0108029

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