Solutions and conservation laws of a \((2+1)\)-dimensional Boussinesq equation (Q2015737)
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scientific article; zbMATH DE number 6306999
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Solutions and conservation laws of a \((2+1)\)-dimensional Boussinesq equation |
scientific article; zbMATH DE number 6306999 |
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Solutions and conservation laws of a \((2+1)\)-dimensional Boussinesq equation (English)
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23 June 2014
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Summary: We study a nonlinear evolution partial differential equation, namely, the \((2+1)\)-dimensional Boussinesq equation. For the first time Lie symmetry method together with simplest equation method is used to find the exact solutions of the \((2+1)\)-dimensional Boussinesq equation. Furthermore, the new conservation theorem due to Ibragimov will be utilized to construct the conservation laws of the \((2+1)\)-dimensional Boussinesq equation.
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exact solutions
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0.9669703
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0.93791604
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0.9277546
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0.9250612
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0.92241806
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0.9196589
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