Interactions between Solitons and Cnoidal Periodic Waves of the Gardner Equation
The Gardner equation is one of the most important prototypic models in nonlinear physics. Many scholars pay much attention to the Gardner equation and various nonlinear excitations of the Gardner equation have been found by many methods. However, it is very difficult to find interaction solutions am...
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| Veröffentlicht in: | Chinese physics letters 2014-07, Vol.31 (7), p.9-11 |
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| creator | 余炜沣 楼森岳 俞军 胡瀚玮 |
| description | The Gardner equation is one of the most important prototypic models in nonlinear physics. Many scholars pay much attention to the Gardner equation and various nonlinear excitations of the Gardner equation have been found by many methods. However, it is very difficult to find interaction solutions among different types of nonlinear excitations. In this work, with the help of the Riccati equation, the Gardner equation is solved by the consistent Riccati expansion. Furthermore, we obtain the soliton-cnoidal wave interaction solutions of the Gardner equation. |
| doi_str_mv | 10.1088/0256-307X/31/7/070203 |
| format | Article |
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| ispartof | Chinese physics letters, 2014-07, Vol.31 (7), p.9-11 |
| issn | 0256-307X 1741-3540 |
| language | eng |
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| source | IOP Publishing Journals; Institute of Physics (IOP) Journals - HEAL-Link |
| subjects | Excitation Mathematical analysis Mathematical models Nonlinearity Riccati equation Riccati方程 Solitons Wave interaction 周期波 孤子 椭圆余弦波 相互作用 非线性激励 非线性激发 非线性物理学 |
| title | Interactions between Solitons and Cnoidal Periodic Waves of the Gardner Equation |
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