论文标题
本地和非本地$（2+1）$ - 尺寸Maccari系统及其Soliton解决方案
Local and nonlocal $(2+1)$-dimensional Maccari systems and their soliton solutions
论文作者
论文摘要
In this work, by using the Hirota bilinear method, we obtain one- and two-soliton solutions of integrable $(2+1)$-dimensional $3$-component Maccari system which is used as a model describing isolated waves localized in a very small part of space and related to very well-known systems like nonlinear Schrödinger, Fokas, and long wave resonance systems.我们代表该系统的所有本地和Ablowitz-Musslimani型非本地减少，并获得新的可集成系统。借助$ 3 $ -COMPONENT MACCARI系统的还原公式和Soliton解决方案，我们获得了这些新的可集成本地和非本地和非本地降低$ 2 $ 2 $ -COMPONTION MACCARI SYSTEM的单核解解决方案。我们还通过为参数的特定值绘制图形来说明我们的解决方案。
In this work, by using the Hirota bilinear method, we obtain one- and two-soliton solutions of integrable $(2+1)$-dimensional $3$-component Maccari system which is used as a model describing isolated waves localized in a very small part of space and related to very well-known systems like nonlinear Schrödinger, Fokas, and long wave resonance systems. We represent all local and Ablowitz-Musslimani type nonlocal reductions of this system and obtain new integrable systems. By the help of reduction formulas and soliton solutions of the $3$-component Maccari system, we obtain one- and two-soliton solutions of these new integrable local and nonlocal reduced $2$-component Maccari systems. We also illustrate our solutions by plotting their graphs for particular values of the parameters.
