研究目的
Investigating the dynamic behavior and general representation of the soliton solutions of a high-order variable coefficient nonlinear Sch?rdinger equation, and discussing the physical mechanism of solitons formation.
研究成果
The study derives analytical soliton solutions for a high-order variable coefficient nonlinear Sch?rdinger equation and analyzes the effects of dispersion and nonlinearity on soliton propagation. It suggests that dispersion and nonlinearity functions can control soliton propagation mode and that soliton amplitude and velocity can be adjusted by changing correlation function coefficients. This research contributes to the soliton theory of nonlinear physical models and has practical significance for engineering structure design and protection.
研究不足
The study focuses on analytical solutions and theoretical analysis without experimental validation. The practical application and optimization of soliton control in real-world scenarios are not discussed.
