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Generalized difference model of phi-4 equation - MaRDI portal

Generalized difference model of phi-4 equation (Q1779361)

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scientific article; zbMATH DE number 2173105
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Generalized difference model of phi-4 equation
scientific article; zbMATH DE number 2173105

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    Generalized difference model of phi-4 equation (English)
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    1 June 2005
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    The author constructs a difference model equation of the phi-4 equation \[ {\partial^2\phi\over\partial t\,\partial x}= \phi(\phi^2- 1)\tag{1} \] containing three kinds of parameter series, a model exhibiting elliptic function solutions and reducing to (1) in a continuum limit independently of its individual parameter values.
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    Phi-4 equation
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    Difference model
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    Kink solution
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