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CONTINUUM THERMODYNAMICS AND NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS
Mathematical Models and Methods in Applied Sciences, 2011zbMATH Open Web Interface contents unavailable due to conflicting licenses.
BELLOMO, Nicola, Málek J.
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Generalized symmetries of nonlinear partial differential equations
Letters in Mathematical Physics, 1979We 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
1996info:eu-repo/semantics ...
Gossez, Jean-Pierre, Benkirane, Amal
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Nonlinear partial differential equations
Journal of the Franklin Institute, 1969M.J. Moran, T.J. Higgins
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A New Approach to Nonlinear Partial Differential Equations
Communications in Nonlinear Science and Numerical Simulation, 1997Ji-Huan He
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On the Integrability of Linear and Nonlinear Partial Differential Equations
Journal of Mathematical Physics, 2000Athanassios S Fokas
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The filter operation on nonlinear partial differential equations.
2002Summary: 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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