Periodic solutions of the non-integrable convective fluid equation (Q2865491)
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scientific article; zbMATH DE number 6234836
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Periodic solutions of the non-integrable convective fluid equation |
scientific article; zbMATH DE number 6234836 |
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Periodic solutions of the non-integrable convective fluid equation (English)
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29 November 2013
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periodic solution
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convective
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fluid equation
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partial differential equation
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bi-linear transformation
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displacements
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In this paper, the authors have developed a mathematical foundation and analyzed a family of exact periodic solutions of the non-linear partial differential equations by modifying the bi-linear transformation method. A number of theorems and arguments are developed and discussed for the existence and uniqueness of the solution. It is as well shown that the residual equation does not have a bi-linear structure and in that case the original non-linear equation is non-integrable. Examples are discussed for validation. It is a interesting research work for the users in the area of convective fluid analysis.
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