论文标题
通过中间非线性schrödinger系统的聚焦焦点
A focusing-defocusing intermediate nonlinear Schrödinger system
论文作者
论文摘要
我们介绍并研究了一个耦合的非局部非线性schrödinger方程的系统，该系统一方面在混合的，聚焦的Manakov系统和另一方面的中间非线性Schrödinger方程的限制案例之间进行了插值。我们表明，我们称之为中间混合Manakov（IMM）系统的新系统接受了由双曲线Calogero-Moser（CM）系统的复杂化控制的多苏利顿解决方案。此外，我们引入了IMM系统的空间周期性版本，我们的结果是由复杂的椭圆CM系统控制的一类精确解决方案。
We introduce and study a system of coupled nonlocal nonlinear Schrödinger equations that interpolates between the mixed, focusing-defocusing Manakov system on one hand and a limiting case of the intermediate nonlinear Schrödinger equation on the other. We show that this new system, which we call the intermediate mixed Manakov (IMM) system, admits multi-soliton solutions governed by a complexification of the hyperbolic Calogero-Moser (CM) system. Furthermore, we introduce a spatially periodic version of the IMM system, for which our result is a class of exact solutions governed by a complexified elliptic CM system.
