论文标题
具有$ \ MATHCAL {pt} $非局限性和/或时空交换非局限性非局限性的非线性非线性klein-gordon系统
Integrable nonlinear Klein-Gordon systems with $\mathcal{PT}$ nonlocality and/or space-time exchange nonlocality
论文作者
论文摘要
In additional to the parity ($\mathcal{P}$) symmetric, time reversal ($\mathcal{T}$) symmetric, and $\mathcal{PT}$ symmetric nonlocal integrable systems, some other types of nonlocal integrable Klein-Gordon models with the space-time exchange nonlocality and the moving nolocality are proposed.明确给出了已建立的非局部非局部klein-gordon方程的宽松对。由$ \ Mathcal {pt} $ - 对称零件和$ \ Mathcal {pt} $ - 反对称零件组成的特殊孤子解决方案,并用形状更改说明。
In additional to the parity ($\mathcal{P}$) symmetric, time reversal ($\mathcal{T}$) symmetric, and $\mathcal{PT}$ symmetric nonlocal integrable systems, some other types of nonlocal integrable Klein-Gordon models with the space-time exchange nonlocality and the moving nolocality are proposed. The Lax pairs of the established nonlinear nonlocal Klein-Gordon equations are explicitly given. A special soliton solution, composed of $\mathcal{PT}$-symmetric part and $\mathcal{PT}$-antisymmetric part, is illustrated with the shape change.