YTSF 方程的解的多样性和动力学行为

Pub Date : 2023-12-10 DOI:10.58997/ejde.2023.82

Wei Chen

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引用次数: 0

摘要

我们基于双线性方法，构建了Yu-Toda-Sasa-Fukuyama（YTSF）方程的非均质多项式块波解，丰富了块波的形式多样性。通过研究 YTSF 方程的块波解与孤波解之间的相互作用，我们发现了新的聚集效应和弹性碰撞效应。通过应用李对称群法和双线性法，我们得到了精确解，如分离变量解和周期非线性波解。更多信息请参见 https://ejde.math.txstate.edu/Volumes/2023/82/abstr.html

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Variety of solutions and dynamical behavior for YTSF equations

We construct non-homogeneous polynomial lump wave solutions of the Yu-Toda-Sasa-Fukuyama (YTSF) equation, based on a bilinear approach, enriching the formal diversity of lump waves. By studying the interaction between the lump solutions of the YTSF equation and the solitary wave solutions, we find a new aggregation effect and elastic collision effect. We obtain exact solutions, such as the solution of separated variables and periodic nonlinear wave solutions, by applying the Lie symmetry group method and the bilinear method. For more information see https://ejde.math.txstate.edu/Volumes/2023/82/abstr.html

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