Nonlinear Sciences > Exactly Solvable and Integrable Systems
[Submitted on 13 Sep 2021
]
Title: Meshy soliton structures for (2+1)-dimensional integrable systems and interactions
Title: 网格状孤子结构在(2+1)-维可积系统中的相互作用
Abstract: In this letter, we construct new meshy soliton structures by using two concrete (2+1)-dimensional integrable systems. The explicit expressions based on corresponding Cole-Hopf type transformations are obtained. Constraint equation ft+\sum_{j=1}^{N} h_j(y)f_{jx} = 0 shows that these meshy soliton structures can be linear or parabolic. Interaction between meshy soliton structure and Lump structure are also revealed.
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