Stability and instability of fourth-order solitary waves (Q1382716)
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scientific article; zbMATH DE number 1130555
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Stability and instability of fourth-order solitary waves |
scientific article; zbMATH DE number 1130555 |
Statements
Stability and instability of fourth-order solitary waves (English)
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12 July 1998
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The equation \[ u_{tt}+\Delta^2 u=| u| ^p u \qquad (p>0) \] is considered. Existence of traveling waves for that equation is derived by using the method of concentrated compactness developed by Lions. In addition, by using the Lyapunov functionals method, the author establishes stability and instability conditions for traveling wave solutions. Stability and instability of the standing wave solutions are also investigated.
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Lyapunov functionals method
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traveling waves
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concentrated compactness
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standing wave solutions
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0.9223735
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0.8905521
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0.8876845
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0.88597274
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0.88584775
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