论文标题
新型的超级旋风和pulselike溶液，用于几个非局部非线性方程
Novel Superposed Kinklike and Pulselike Solutions for Several Nonlocal Nonlinear Equations
论文作者
论文摘要
We show that a number of nonlocal nonlinear equations including the Ablowitz-Musslimani and the Yang variant of the nonlocal nonlinear Schröd-inger (NLS) equation, nonlocal modified Korteweg de Vries (mKdV) equation as well as the nonlocal Hirota equation admit novel kinklike and pulselike superposed periodic solutions.此外，我们表明非局部MKDV方程还接受了超跨（双曲线）扭结溶液。此外，我们表明，虽然NLS的非局部Ablowitz-Musslimani变体允许复合物（平均时间逆转或）pt-pt-In-pt-invariant扭结和脉冲解决方案，但非局部NLS的本地NLS和YANG变体都不会允许使用此类解决方案。最后，除非非局部NLS的Yang变体，我们表明其他三个非局部方程在同一模型中同时接受了扭结和脉冲溶液。
We show that a number of nonlocal nonlinear equations including the Ablowitz-Musslimani and the Yang variant of the nonlocal nonlinear Schröd-inger (NLS) equation, nonlocal modified Korteweg de Vries (mKdV) equation as well as the nonlocal Hirota equation admit novel kinklike and pulselike superposed periodic solutions. Further, we show that the nonlocal mKdV equation, in addition also admits the superposed (hyperbolic) kink-antikink solution. Besides, we show that while the nonlocal Ablowitz-Musslimani variant of the NLS admits complex (parity-time reversal or) PT-invariant kink and pulse solutions, neither the local NLS nor the Yang variant of the nonlocal NLS admits such solutions. Finally, except for the Yang variant of the nonlocal NLS, we show that the other three nonlocal equations admit both the kink and pulse solutions in the same model.
