Envelope bright- and dark-soliton solutions for the Gerdjikov–Ivanov model
Envelope bright- and dark-soliton solutions for the Gerdjikov–Ivanov model
复制标题
DOI：
10.1007/s11071-015-2227-6
复制
发表时间：
2015-07
影响因子：
5.6
通讯作者：
Xing Lü;W. Ma;Jun Yu;Fuhong Lin;C. M. Khalique
中科院分区：
文献类型：
--
作者：
Xing Lü;W. Ma;Jun Yu;Fuhong Lin;C. M. Khalique
在Madelung流体描述的背景下，研究了一类非线性薛定谔方程的包络类孤子解与一类Korteweg-de弗里斯或Korteweg-de Vries型方程的类孤子解之间的联系.本文在适当的流速假设下，导出并讨论了Gerdjikov-Ivanov包络孤子。对于流速为定常分布的流体运动，流体密度满足广义定常Gardner方程，由于相关的参数约束，该方程存在亮型和暗型（包括灰型和黑型）孤立波，最后在Gerdjikov-Ivanov模型中找到了相应的包络孤立波。此外，这种方法可能是有用的研究其他非线性薛定谔型方程。
Within the context of the Madelung fluid description, investigation has been carried out on the connection between the envelope soliton-like solutions of a wide family of nonlinear Schrödinger equations and the soliton-like solutions of a wide family of Korteweg–de Vries or Korteweg–de Vries-type equations. Under suitable hypothesis for the current velocity, the Gerdjikov–Ivanov envelope solitons are derived and discussed in this paper. For a motion with the stationary profile current velocity, the fluid density satisfies a generalized stationary Gardner equation, which possessesbright-anddark-type (includinggrayandblack) solitary waves due to associated parametric constraints, and finally envelope solitons are found correspondingly for the Gerdjikov–Ivanov model. Moreover, this approach may be useful for studying other nonlinear Schrödinger-type equations.