High-order rational solutions and resonance solutions for a (3+1)-dimensional Kudryashov-Sinelshchikov equation

• 来源期刊: 中国物理B（英文版）
• 年，卷（期）: 2021,（1）
• 页码范围: 150-158
• 页数: 9页
• 语种: 英文
• DOI: 10.1088/1674-1056/abb3f3

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 transfor-mations, 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, dark-fusion, 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.