Coupling of two partial differential equations and its application

Hidetoshi Tahara ()
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Hidetoshi Tahara: Sophia University, Department of Mathematics

A chapter in Algebraic Analysis of Differential Equations, 2008, pp 295-306 from Springer

Abstract: Abstract The paper considers the coupling of the following two nonlinear partial differential equations $$ \frac{{\partial u}} {{\partial t}} = F\left( {t,x,u,\frac{{\partial u}} {{\partial x}}} \right) and \frac{{\partial w}} {{\partial t}} = G\left( {t,x,w,\frac{{\partial w}} {{\partial x}}} \right), $$ and establishes the equivalence of them. The result is applied to the problem of analytic continuation of the solution.

Keywords: coupling equation; equivalence of two PDEs; analytic continuation (search for similar items in EconPapers)
Date: 2008
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-4-431-73240-2_24

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DOI: 10.1007/978-4-431-73240-2_24

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