A class of general systems of KdV type. I: Weak solutions with derivative \(u_{x^ p}\) (Q1071959)
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scientific article; zbMATH DE number 3939872
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A class of general systems of KdV type. I: Weak solutions with derivative \(u_{x^ p}\) |
scientific article; zbMATH DE number 3939872 |
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A class of general systems of KdV type. I: Weak solutions with derivative \(u_{x^ p}\) (English)
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1984
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The authors consider some wide class of general systems of Korteweg-de Vries equations which contain nonlinear terms with derivative of higher order. They prove the existence of generalized solutions for this system. The asymptotic behavior as \(t\to \infty\) and the ''blow up'' property of the solution are discussed.
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blow up property
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systems of Korteweg-de Vries equations
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generalized solutions
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asymptotic behavior
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