Modulation instability analysis of modify unstable nonlinear schrodinger dynamical equation and its optical soliton solutions

作者：Arshad, Muhammad; Seadawy, Aly R.^*; Lu, Dianchen^*; Jun, Wang

来源：Results in Physics, 2017, 7: 4153-4161.

DOI：10.1016/j.rinp.2017.10.029

• Modify unstable nonlinear schrodinger
• equation
• Modified extended mapping method
• bright and dark solitons
• Solitary wave solutions
• Elliptic function solutions
• periodic solutions

The nonlinear Schrodinger equations (NLSEs) describe the promulgation of ultra-short pluse in optical fibers. The modify unstable nonlinear Schrodinger equation (mUNLSE) is a universal equation of the class of nonlinear integrable systems in NLSEs, which governs certain instabilities of modulated wave-trains. This equation also describes the time evolution of disturbances in marginally stable or unstable media. In the current work, the aim is to investigate the mUNLSE analytically by utilizing proposed modified extended mapping method. New exact solutions are constructed in the different form such as exact dark soliton, exact bright soliton, bright-dark soliton, solitary wave, elliptic function in different form and periodic solutions of mUNLSE. Furthermore, we also present the formation conditions of the bright soliton and dark soliton of this equation. The modulation instability analysis is implemented to discuss the stability analysis of the attained solutions and the movement role of the waves is examined, which confirms that all constructed solutions are exact and stable.

• 出版日期2017
• 单位江苏大学