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Studied in this paper is a(2+1)-dimensional coupled nonlinear Schr?dinger system with variable coefficients,which describes the propagation of an optical beam inside the two-dimensional graded-index waveguide amplifier with the polarization effects. According to the similarity transformation, we derive the type-Ⅰ and type-Ⅱ rogue-wave solutions. We graphically present two types of the rouge wave and discuss the influence of the diffraction parameter on the rogue waves.When the diffraction parameters are exponentially-growing-periodic, exponential, linear and quadratic parameters, we obtain the periodic rogue wave and composite rogue waves respectively. 相似文献
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以Yb2O3、Y2O3 、Gd2O3稀土氧化物粉末和ZrOCl2·8H2O粉末为原料,采用化学共沉淀法制备了Yb2O3-Y2O3-Gd2O3-ZrO2 (YYGZO)热喷涂用粉末,采用大气等离子喷涂技术制备了YYGZO涂层,利用场发射扫描电镜(FESEM)、X射线衍射(XRD)研究了YYGZO粉末及涂层的微观组织形貌、相结构.结果表明,制备的热喷涂YYGZO粉末大部分呈规则实心球体状,且球形度良好,颗粒粒径均匀,大部分颗粒粒径分布为30~60μm,流动性能较好,满足大气等离子喷涂的要求.YYGZO涂层具有较好的高温相结构稳定性.所制备YYGZO热障涂层组织结构比较致密,涂层各个界面结合紧密,孔隙率约为9.23;,结合强度为35.2 MPa. 相似文献
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Lax pair and vector semi-rational nonautonomous rogue waves for a coupled time-dependent coefficient fourth-order nonlinear Schrodinger system in an inhomogeneous optical fiber 下载免费PDF全文
Optical fibers are seen in the optical sensing and optical fiber communication. Simultaneous propagation of optical pulses in an inhomogeneous optical fiber is described by a coupled time-dependent coefficient fourth-order nonlinear Schr?dinger system, which is discussed in this paper. For such a system, we work out the Lax pair, Darboux transformation, and corresponding vector semi-rational nonautonomous rogue wave solutions. When the group velocity dispersion(GVD) and fourth-order dispersion(FOD) coefficients are the constants, we exhibit the first-and second-order vector semirational rogue waves which are composed of the four-petalled rogue waves and eye-shaped breathers. Both the width of the rogue wave along the time axis and temporal separation between the adjacent peaks of the breather decrease with the GVD coefficient or FOD coefficient. With the GVD and FOD coefficients as the linear, cosine, and exponential functions, we respectively present the first-and second-order periodic vector semi-rational rogue waves, first-and second-order asymmetry vector semi-rational rogue waves, and interactions between the eye-shaped breathers and the composite rogue waves. 相似文献
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Yu-Qiang Yuan 《中国物理 B》2022,31(12):120202-120202
We investigate certain rogue waves of a (3+1)-dimensional BKP equation via the Kadomtsev-Petviashili hierarchy reduction method. We obtain semi-rational solutions in the determinant form, which contain two special interactions: (i) one lump develops from a kink soliton and then fuses into the other kink one; (ii) a line rogue wave arises from the segment between two kink solitons and then disappears quickly. We find that such a lump or line rogue wave only survives in a short time and localizes in both space and time, which performs like a rogue wave. Furthermore, the higher-order semi-rational solutions describing the interaction between two lumps (one line rogue wave) and three kink solitons are presented. 相似文献
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