Chowdury A, Kedziora D J, Ankiewicz A, Akhmediev N
Optical Sciences Group, Research School of Physics and Engineering, The Australian National University, Canberra, ACT 2600, Australia.
Phys Rev E Stat Nonlin Soft Matter Phys. 2015 Feb;91(2):022919. doi: 10.1103/PhysRevE.91.022919. Epub 2015 Feb 24.
We present breather solutions of the quintic integrable equation of the Schrödinger hierarchy. This equation has terms describing fifth-order dispersion and matching nonlinear terms. Using a Darboux transformation, we derive first-order and second-order breather solutions. These include first- and second-order rogue-wave solutions. To some extent, these solutions are analogous with the corresponding nonlinear Schrödinger equation (NLSE) solutions. However, the presence of a free parameter in the equation results in specific solutions that have no analogues in the NLSE case. We analyze new features of these solutions.
我们给出了薛定谔层级五次可积方程的呼吸子解。该方程具有描述五阶色散的项和匹配的非线性项。利用达布变换，我们推导出了一阶和二阶呼吸子解。这些解包括一阶和二阶 rogue 波解。在某种程度上，这些解与相应的非线性薛定谔方程（NLSE）的解类似。然而，方程中一个自由参数的存在导致了一些在 NLSE 情形中没有类似物的特定解。我们分析了这些解的新特性。
