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CONTINUUM THERMODYNAMICS AND NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS

Mathematical Models and Methods in Applied Sciences, 2011
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BELLOMO, Nicola, Málek J.
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Generalized symmetries of nonlinear partial differential equations

Letters in Mathematical Physics, 1979
We propose a rigorous definition of the generalized infinitesimal symmetries using the notion of k-vector fields, and we derive an algorithm for their determination. We show that Backlund transformations between evolution equations are differential operators having prescribed symmetries.
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Nonlinear Partial Differential Equations

1996
info:eu-repo/semantics ...
Gossez, Jean-Pierre, Benkirane, Amal
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Nonlinear partial differential equations

Journal of the Franklin Institute, 1969
M.J. Moran, T.J. Higgins
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A New Approach to Nonlinear Partial Differential Equations

Communications in Nonlinear Science and Numerical Simulation, 1997
Ji-Huan He
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On the Integrability of Linear and Nonlinear Partial Differential Equations

Journal of Mathematical Physics, 2000
Athanassios S Fokas
exaly  

The filter operation on nonlinear partial differential equations.

2002
Summary: An alternative to the traditional approach of applying integral filter operators to nonlinear partial differential equations to obtain macroscopic scale equations is presented. The procedure involves the reformulation of the integral filter in terms of a system of partial differential equations.
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