可积非局域非线性薛定谔方程。
Integrable nonlocal nonlinear Schrödinger equation.
机构信息
Department of Applied Mathematics, University of Colorado, Campus Box 526, Boulder, Colorado 80309-0526, USA.
出版信息
Phys Rev Lett. 2013 Feb 8;110(6):064105. doi: 10.1103/PhysRevLett.110.064105. Epub 2013 Feb 7.
A new integrable nonlocal nonlinear Schrödinger equation is introduced. It possesses a Lax pair and an infinite number of conservation laws and is PT symmetric. The inverse scattering transform and scattering data with suitable symmetries are discussed. A method to find pure soliton solutions is given. An explicit breathing one soliton solution is found. Key properties are discussed and contrasted with the classical nonlinear Schrödinger equation.
介绍了一个新的可积非局域非线性薛定谔方程。它具有一个 Lax 对和无穷多个守恒律，并且是 PT 对称的。讨论了逆散射变换和具有适当对称性的散射数据。给出了一种寻找纯孤子解的方法。找到了一个显式呼吸孤子解。讨论了关键性质，并与经典非线性薛定谔方程进行了对比。
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