论文部分内容阅读
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.