Rogue wave for the (3+1)-dimensional Yu-Toda-Sasa-Fukuyama equation (Q1723962)
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scientific article; zbMATH DE number 7022258
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Rogue wave for the (3+1)-dimensional Yu-Toda-Sasa-Fukuyama equation |
scientific article; zbMATH DE number 7022258 |
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Rogue wave for the (3+1)-dimensional Yu-Toda-Sasa-Fukuyama equation (English)
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14 February 2019
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Summary: A new method, homoclinic (heteroclinic) breather limit method (HBLM), for seeking rogue wave solution to nonlinear evolution equation (NEE) is proposed. (3+1)-dimensional Yu-Toda-Sasa-Fukuyama (YTSF) equation is used as an example to illustrate the effectiveness of the suggested method. A new family of two-wave solution, rational breather wave solution, is obtained by extended homoclinic test method, and it is just a rogue wave solution. This result shows rogue wave can come from extreme behavior of breather solitary wave for (3+1)-dimensional nonlinear wave fields.
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Yu-Toda-Sasa-Fukuyama equation
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homoclinic (heteroclinic) breather limit method
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rogue wave
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