Lump solutions of a nonlinear PDE combining with a new fourth-order term \(D_x^2 D_t^2 *\) (Q2308025)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Lump solutions of a nonlinear PDE combining with a new fourth-order term \(D_x^2 D_t^2 *\) |
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Lump solutions of a nonlinear PDE combining with a new fourth-order term \(D_x^2 D_t^2 *\) (English)
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25 March 2020
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Summary: A nonlinear PDE combining with a new fourth-order term \(D_x^2 D_t^2\) is studied. Adding three new fourth-order derivative terms and some second-order derivative terms, we formulate a combined fourth-order nonlinear partial differential equation, which possesses a Hirota's bilinear form. The class of lump solutions is constructed explicitly through Hirota's bilinear method. Their dynamical behaviors are analyzed through plots.
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Hirota's bilinear method
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