Bifurcations of traveling wave solutions and exact solutions to generalized Zakharov equation and Ginzburg-Landau equation (Q764611)
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scientific article; zbMATH DE number 6014570
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Bifurcations of traveling wave solutions and exact solutions to generalized Zakharov equation and Ginzburg-Landau equation |
scientific article; zbMATH DE number 6014570 |
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Bifurcations of traveling wave solutions and exact solutions to generalized Zakharov equation and Ginzburg-Landau equation (English)
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13 March 2012
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The authors consider the dynamical behavior of wave profile systems for a generalized Zakharov equation and a generalized Ginzburg-Landau equation. Using qualitative analysis, they investigate the phase portrait and level curves defined by the Hamiltonian equation \(\tilde{H}(x,y)=0\). They also give the exact explicit parametric representations of the traveling waves to the two equations.
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planar dynamical system
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periodic waves
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exact solution
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parametric representations
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