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Nonlinear Partial Differential Equations
2004In the previous chapters, we discussed the solution of linear partial differential equations. Special focus was given to the solution of internal heat transfer problems in duct flows. However, in most technical applications, problems are often described by nonlinear partial differential equations.
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NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS ON HOMOGENEOUS SPACES
International Journal of Modern Physics A, 1990The work of A.K.N.S. which is based on the sl(2, R) valued soliton connection is extended to obtain new integrable coupled nonlinear partial differential equations. This is achieved by assuming the soliton connection having values in a simple Lie, Kac-Moody, Lie superalgebras.
GURSES, M, OGUZ, O, SALIHOGLU, S
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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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Local solvability for nonlinear partial differential equations
Nonlinear Analysis: Theory, Methods & Applications, 2001In the introduction we give a short survey on known results concerning local solvability for nonlinear partial differential equations; the next sections will be then devoted to the proof of a new result in the same direction. Specifically we study the semi-linear operator F(u) = P(D)u + f(x, Q 1(D)u, .., Q M(D)u) where P, Q 1, .., Q M are linear ...
F. Messina, L. Rodino
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Nonlinear Partial Differential Equations
1996info:eu-repo/semantics ...
Gossez, Jean-Pierre, Benkirane, Amal
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Approximate Solutions of Nonlinear Partial Differential Equations Using B-Polynomial Bases
Fractal and Fractional, 2021Muhammad Bhatti, Nicholas Dimakis
exaly

