New periodic solitary-wave solutions to the \((3+1)\)-dimensional Kadomtsev-Petviashvili equation (Q629601)
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scientific article; zbMATH DE number 5863404
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | New periodic solitary-wave solutions to the \((3+1)\)-dimensional Kadomtsev-Petviashvili equation |
scientific article; zbMATH DE number 5863404 |
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New periodic solitary-wave solutions to the \((3+1)\)-dimensional Kadomtsev-Petviashvili equation (English)
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9 March 2011
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Summary: By the extended homoclinic test technique, explicit solutions of the \((3+1)\)-dimensional Kadomtsev-Petviashvili (KP) equation are obtained. These solutions include doubly periodic wave solutions, doubly soliton solutions and periodic solitary-wave solutions. It is shown that the extended homoclinic test technique is a straightforward and powerful mathematical tool for solving nonlinear evolution equation
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extended homoclinic test technique
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doubly periodic wave solutions
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doubly soliton solutions
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periodic solitary-wave solutions
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