Properties of a class of slowly decaying oscillatory solutions of KdV (Q2781697)
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scientific article; zbMATH DE number 1721639
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Properties of a class of slowly decaying oscillatory solutions of KdV |
scientific article; zbMATH DE number 1721639 |
Statements
15 December 2002
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linear and nonlinear KdV equation
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nonlinear perturbation
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Properties of a class of slowly decaying oscillatory solutions of KdV (English)
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The nonlinear Korteveg-de Vries (KdV) equation NEWLINE\[NEWLINEu_t-6uu_x +u_{xxx}=0,\quad \lim_{x\to\pm\infty} u(t,x)=0NEWLINE\]NEWLINE is studied as the nonlinear perturbation of the linear KdV equation \( u_t+u_{xxx}=0\). NEWLINENEWLINENEWLINEReviewer's remark: The article contains a review of the main results published in the previous author's work, among them [\textit{M. Kovalyov}, Slowly decaying solutions of KdV, Nonlinear PDE's, dynamics and continuum physics, Contemp. Math. 255, 163-180 (2000; Zbl 0958.35121)].NEWLINENEWLINEFor the entire collection see [Zbl 0974.00040].
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