| High-order rational solutions and resonance solutions for a (3+1)-dimensional Kudryashov–Sinelshchikov equation |
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| 引用本文： | 岳云飞,林机,陈勇.High-order rational solutions and resonance solutions for a (3+1)-dimensional Kudryashov–Sinelshchikov equation[J].中国物理 B,2021(1). |
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| 作者姓名： | 岳云飞 林机 陈勇 |
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| 作者单位： | School of Mathematical Sciences;Department of Physics;College of Mathematics and Systems Science |
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| 基金项目： | Project supported by the National Natural Science Foundation of China(Grant No.11675054);the Future Scientist/Outstanding Scholar Training Program of East China Normal University(Grant No.WLKXJ2019-004);the Fund from Shanghai Collaborative Innovation Center of Trustworthy Software for Internet of Things(Grant No.ZF1213);the Project from the Science and Technology Commission of Shanghai Municipality,China(Grant No.18dz2271000)。 |
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| 摘 要： | We mainly investigate the rational solutions and N-wave resonance solutions for the(3+1)-dimensional Kudryashov–Sinelshchikov equation, which could be used to describe the liquid containing gas bubbles. With appropriate transformations, two kinds of bilinear forms are derived. Employing the two bilinear equations, dynamical behaviors of nine district solutions for this equation are discussed in detail, including bright rogue wave-type solution, dark rogue wave-type solution, bright W-shaped solution, dark W-shaped rational solution, generalized rational solution and bright-fusion, darkfusion, bright-fission, and dark-fission resonance solutions. In addition, the generalized rational solutions, which depending on two arbitrary parameters, have an interesting structure: splitting from two peaks into three peaks.
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| 关 键 词： | rational solution N-wave resonance solution Hirota bilinear method Kudryashov–Sinelshchikov equation |
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