具有自洽源的对称 (2+1)- 维 Lotka-Volterra 方程

arXiv - PHYS - Exactly Solvable and Integrable Systems Pub Date : 2024-04-23 DOI:arxiv-2404.14969

Mengyuan Cui, Chunxia Li, Yuqin Yao

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摘要

利用源生成器构建了具有自洽源的对称（2+1）维 Lotka-Volterra 方程，其解用 pfaffians 表示。作为 pfaffians 解的特例，提出了不同类型的显式解，包括多米诺、孤子解和呼吸解。

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The symmetric (2+1)-dimensional Lotka-Volterra equation with self-consistent sources

The symmetric (2+1)-dimensional Lotka-Volterra equation with self-consistent sources is constructed using the source generation producure, whose solutions are expressed in terms of pfaffians. As special cases of the pfaffian solutions, different types of explicit solutions are presented, including dromions, soliton solutions and breather solutions.

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arXiv - PHYS - Exactly Solvable and Integrable Systems

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