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Coupling of two partial differential equations and its application

In: Algebraic Analysis of Differential Equations

Author

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  • Hidetoshi Tahara

    (Sophia University, Department of Mathematics)

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.

Suggested Citation

  • Hidetoshi Tahara, 2008. "Coupling of two partial differential equations and its application," Springer Books, in: Takashi Aoki & Hideyuki Majima & Yoshitsugu Takei & Nobuyuki Tose (ed.), Algebraic Analysis of Differential Equations, pages 295-306, Springer.
    • Handle: RePEc:spr:sprchp:978-4-431-73240-2_24
    DOI: 10.1007/978-4-431-73240-2_24
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