(2 + 1)维Sawada-Kotera方程波的态转换
State Transition of the Wave for (2 + 1)-Dimensional Sawada-Kotera Equation
摘要: 本文研究了(2 + 1)维Sawada-Kotera方程的转换动力学特性。通过Hirato双线性方法和复数化参数，我们给出孤立波解和一阶呼吸波解。基于转换条件，我们得到了几种转换波，包括(振荡) W型或M型孤子、和多峰孤子。接着，我们研究了转换波的时变性质。
Abstract: Under investigation in this work is the (2 + 1)-dimensional Sawada-Kotera equation. By the Hirato bilinear method and complex parameters, we give the solitary-wave solution and the first-order breath-wave solution. Based on the transition condition, we obtained the transformed waves, including the (oscillating) M- and W-shaped solitons and multi-peak solitons. Next, we investigate the time-varying features.
文章引用：庞燕敏. (2 + 1)维Sawada-Kotera方程波的态转换[J]. 应用数学进展, 2021, 10(5): 1515-1521. https://doi.org/10.12677/AAM.2021.105161

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