A property of the ansatz of the Hirota method for quasilinear parabolic equations (Q1810083)
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scientific article; zbMATH DE number 1928178
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A property of the ansatz of the Hirota method for quasilinear parabolic equations |
scientific article; zbMATH DE number 1928178 |
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A property of the ansatz of the Hirota method for quasilinear parabolic equations (English)
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15 June 2003
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The author deals with the classes of linear fractional solutions to some nonlinear equations. This allows him to construct new solutions for a chosen class of dissipative equations. To construct solutions of a more complicated forms the author proposes to use so-called ``property of zero denominators and factorized brackets''. Moreover, the author presents some examples of new solutions, which can be used for majorizing in comparison theorems and for modeling phase processes and process in neurocomputers.
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linear fractional solutions
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dissipative equations
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comparison theorems
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