Classification of single traveling wave solutions to Zakharov-Kuznetsov-modified equal-width equation (Q2875402)
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scientific article; zbMATH DE number 6330449
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Classification of single traveling wave solutions to Zakharov-Kuznetsov-modified equal-width equation |
scientific article; zbMATH DE number 6330449 |
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14 August 2014
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complete discrimination system for polynomial method
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Zakharov-Kuznetsov-modified equal-width equation
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Classification of single traveling wave solutions to Zakharov-Kuznetsov-modified equal-width equation (English)
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Consider the partial differential equation NEWLINE\[NEWLINEu_t+ a(u^3)_x+ (bu_{xt}+ cu_{yy})_x= 0.NEWLINE\]NEWLINE The author studies the existence of traveling waves of the form NEWLINE\[NEWLINEu(t,x,y)= U(k_1x+ k_2 y+ k_3 t).NEWLINE\]NEWLINE He derives an explicit expression for \(U(\xi)\) and gives a classification in dependence on the considered parameters.
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