论文标题

非局部超级溶液II:耦合非线性方程

Nonlocal Superposed Solutions II: Coupled Nonlinear Equations

论文作者

Khare, Avinash, Saxena, Avadh

论文摘要

We obtain novel periodic as well as hyperbolic solutions of an Ablowitz-Musslimani variant of the coupled nonlocal, nonlinear Schrödinger equation (NLS) as well as a coupled nonlocal modified Korteweg-de Vries (mKdV) equation which can be re-expressed as a linear superposition of the sum or the difference of two hyperbolic or two periodic kink or pulse解决方案。此外,我们还讨论了这些耦合方程所接受的其他一些解决方案。这些结果表明,超封面溶液的概念也扩展到耦合的非局部非线性方程。

We obtain novel periodic as well as hyperbolic solutions of an Ablowitz-Musslimani variant of the coupled nonlocal, nonlinear Schrödinger equation (NLS) as well as a coupled nonlocal modified Korteweg-de Vries (mKdV) equation which can be re-expressed as a linear superposition of the sum or the difference of two hyperbolic or two periodic kink or pulse solutions. Besides, we also discuss some of the other solutions admitted by these coupled equations. These results demonstrate that the notion of the superposed solutions extends to the coupled nonlocal nonlinear equations as well.

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